Sequences
392,541 sequences
- Sort digits of primes into descending order (A028906) then sort this sequence into ascending order.A028911
Sort digits of primes into descending order (A028906) then sort this sequence into ascending order.
- Sort digits of primes into descending order (A028906), sort this sequence into ascending order (A028911), then remove duplicates.A028912
Sort digits of primes into descending order (A028906), sort this sequence into ascending order (A028911), then remove duplicates.
- First differences of A007952.A028913
First differences of A007952.
- Divide A028913 by 2.A028914
Divide A028913 by 2.
- Take next group of 3 primes, beginning at 7, map final digits to base 4 by 1->0, 3->1, 7->3, 9->2; convert back to decimal.A028915
Take next group of 3 primes, beginning at 7, map final digits to base 4 by 1->0, 3->1, 7->3, 9->2; convert back to decimal.
- Friedlander-Iwaniec primes: Primes of form a^2 + b^4.A028916
Friedlander-Iwaniec primes: Primes of form a^2 + b^4.
- a(n) = (3*n+1)! / (24*n).A028917
a(n) = (3*n+1)! / (24*n).
- (3n+1)!/(4*(3n-1)).A028918
(3n+1)!/(4*(3n-1)).
- Congruent to 0, 6, 10, 12 (mod 14).A028919
Congruent to 0, 6, 10, 12 (mod 14).
- Pit harvesting sequence for winning solitaire Tchoukaillon (or Mancala).A028920
Pit harvesting sequence for winning solitaire Tchoukaillon (or Mancala).
- Determinant of n-dimensional laminated lattice Lambda(n) (non-integral beyond the entries shown).A028921
Determinant of n-dimensional laminated lattice Lambda(n) (non-integral beyond the entries shown).
- Determinant of n-dimensional lattice Kappa(n) (non-integral beyond the entries shown).A028922
Determinant of n-dimensional lattice Kappa(n) (non-integral beyond the entries shown).
- Kissing number of n-dimensional lattice Kappa_n.A028923
Kissing number of n-dimensional lattice Kappa_n.
- Maximal number of pairs of minimal vectors in n-dimensional laminated lattice.A028924
Maximal number of pairs of minimal vectors in n-dimensional laminated lattice.
- Maximal number of pairs of minimal vectors in an n-dimensional lattice.A028925
Maximal number of pairs of minimal vectors in an n-dimensional lattice.
- Number of pairs of minimal vectors in n-dimensional lattice Kappa_n.A028926
Number of pairs of minimal vectors in n-dimensional lattice Kappa_n.
- Numbers represented by quadratic form with Gram matrix [ 3, 1; 1, 5 ].A028927
Numbers represented by quadratic form with Gram matrix [ 3, 1; 1, 5 ].
- Theta series of quadratic form (or lattice) with Gram matrix [ 3, 1; 1, 5 ].A028928
Theta series of quadratic form (or lattice) with Gram matrix [ 3, 1; 1, 5 ].
- Numbers represented by quadratic form with Gram matrix [ 4, 1; 1, 6 ], divided by 2.A028929
Numbers represented by quadratic form with Gram matrix [ 4, 1; 1, 6 ], divided by 2.
- Theta series of quadratic form (or lattice) with Gram matrix [ 4, 1; 1, 6 ].A028930
Theta series of quadratic form (or lattice) with Gram matrix [ 4, 1; 1, 6 ].
- Strings giving winning positions in Tchoukaillon (or Mancala) solitaire.A028931
Strings giving winning positions in Tchoukaillon (or Mancala) solitaire.
- Triangular array of winning positions in Tchoukaillon (or Mancala) solitaire.A028932
Triangular array of winning positions in Tchoukaillon (or Mancala) solitaire.
- Table of winning positions in Tchoukaillon (or Mancala) solitaire.A028933
Table of winning positions in Tchoukaillon (or Mancala) solitaire.
- Negative of numerator of y-coordinate of (2n+1)*P where P is the generator for rational points on the curve y^2 + y = x^3 - x.A028934
Negative of numerator of y-coordinate of (2n+1)*P where P is the generator for rational points on the curve y^2 + y = x^3 - x.
- a(n) = A006720(n)^3 (cubed terms of Somos-4 sequence).A028935
a(n) = A006720(n)^3 (cubed terms of Somos-4 sequence).
- Numerator of x-coordinate of (2n)*P where P is the generator for rational points on the curve y^2 + y = x^3 - x.A028936
Numerator of x-coordinate of (2n)*P where P is the generator for rational points on the curve y^2 + y = x^3 - x.
- Denominator of x-coordinate of (2n)*P where P = (0,0) is the generator for rational points on the curve y^2 + y = x^3 - x.A028937
Denominator of x-coordinate of (2n)*P where P = (0,0) is the generator for rational points on the curve y^2 + y = x^3 - x.
- Negative of numerator of y-coordinate of (2n)*P where P is generator for rational points on curve y^2 + y = x^3 - x.A028938
Negative of numerator of y-coordinate of (2n)*P where P is generator for rational points on curve y^2 + y = x^3 - x.
- a(n) = denominator of y-coordinate of (2n)*P where P is the generator for rational points on the curve y^2 + y = x^3 - x.A028939
a(n) = denominator of y-coordinate of (2n)*P where P is the generator for rational points on the curve y^2 + y = x^3 - x.
- a(n) = numerator of the X-coordinate of n*P where P is the generator [0,0] for rational points on the curve y^2 + y = x^3 - x.A028940
a(n) = numerator of the X-coordinate of n*P where P is the generator [0,0] for rational points on the curve y^2 + y = x^3 - x.
- Denominator of X-coordinate of n*P where P is the generator [0,0] for rational points on curve y^2+y = x^3-x.A028941
Denominator of X-coordinate of n*P where P is the generator [0,0] for rational points on curve y^2+y = x^3-x.
- Negative of numerator of y coordinate of n*P where P is the generator [0,0] for rational points on curve y^2+y = x^3-x.A028942
Negative of numerator of y coordinate of n*P where P is the generator [0,0] for rational points on curve y^2+y = x^3-x.
- Denominator of y coordinate of n*P where P is the generator [0,0] for rational points on curve y^2+y = x^3-x.A028943
Denominator of y coordinate of n*P where P is the generator [0,0] for rational points on curve y^2+y = x^3-x.
- Numerator of x-coordinate of (2n+1)*P where P is the generator for rational points on the curve y^2 + y = x^3 - x.A028944
Numerator of x-coordinate of (2n+1)*P where P is the generator for rational points on the curve y^2 + y = x^3 - x.
- a(n) = A006720(n)^2 (squared terms of Somos-4 sequence).A028945
a(n) = A006720(n)^2 (squared terms of Somos-4 sequence).
- Maximal cardinality of 2-distance set in R^n with distance ratio tau.A028946
Maximal cardinality of 2-distance set in R^n with distance ratio tau.
- Difference between P(n) and nearest integer to P(n-1)^2 / P(n-2), where P(i) =i-th prime.A028947
Difference between P(n) and nearest integer to P(n-1)^2 / P(n-2), where P(i) =i-th prime.
- An "extremely strange sequence": a(n+1) = [ A*a(n)+B ]/p^r, where p^r is the highest power of p dividing [ A*a(n)+B ] and p=2, A=4.001, B=1.2.A028948
An "extremely strange sequence": a(n+1) = [ A*a(n)+B ]/p^r, where p^r is the highest power of p dividing [ A*a(n)+B ] and p=2, A=4.001, B=1.2.
- Write numbers from 1 to n(n+1)/2 in a left-justified lower triangular array (a) downwards and (b) across; a(n) is number of numbers in same position in both.A028949
Write numbers from 1 to n(n+1)/2 in a left-justified lower triangular array (a) downwards and (b) across; a(n) is number of numbers in same position in both.
- Minimal norm of n-dimensional, strictly odd, unimodular lattice.A028950
Minimal norm of n-dimensional, strictly odd, unimodular lattice.
- Numbers represented by quadratic form with Gram matrix [ 2, 1; 1, 4 ] (or the Kleinian 2-d lattice, see A002652).A028951
Numbers represented by quadratic form with Gram matrix [ 2, 1; 1, 4 ] (or the Kleinian 2-d lattice, see A002652).
- Numbers represented by quadratic form with Gram matrix [ 3, 1; 1, 4 ].A028952
Numbers represented by quadratic form with Gram matrix [ 3, 1; 1, 4 ].
- Theta series of quadratic form (or lattice) with Gram matrix [ 3, 1; 1, 4 ].A028953
Theta series of quadratic form (or lattice) with Gram matrix [ 3, 1; 1, 4 ].
- Numbers represented by quadratic form with Gram matrix [ 2, 1; 1, 6 ]. (divided by 2).A028954
Numbers represented by quadratic form with Gram matrix [ 2, 1; 1, 6 ]. (divided by 2).
- Numbers represented by quadratic form with Gram matrix [ 4, 1; 1, 4 ] (divided by 2).A028955
Numbers represented by quadratic form with Gram matrix [ 4, 1; 1, 4 ] (divided by 2).
- Theta series of quadratic form (or lattice) with Gram matrix [ 4, 1; 1, 4 ].A028956
Theta series of quadratic form (or lattice) with Gram matrix [ 4, 1; 1, 4 ].
- Numbers represented by quadratic form with Gram matrix [ 2, 1; 1, 8 ] (divided by 2).A028957
Numbers represented by quadratic form with Gram matrix [ 2, 1; 1, 8 ] (divided by 2).
- Numbers represented by quadratic form with Gram matrix [ 2, 1; 1, 12 ] (divided by 2).A028958
Numbers represented by quadratic form with Gram matrix [ 2, 1; 1, 12 ] (divided by 2).
- Theta series of quadratic form with Gram matrix [ 2, 1; 1, 12 ].A028959
Theta series of quadratic form with Gram matrix [ 2, 1; 1, 12 ].
- Numbers represented by quadratic form with Gram matrix [ 3, 1; 1, 8 ].A028960
Numbers represented by quadratic form with Gram matrix [ 3, 1; 1, 8 ].