Sequences
392,541 sequences
- Inverse of 102nd cyclotomic polynomial.A014111
Inverse of 102nd cyclotomic polynomial.
- a(n) = n*(n-1) + (n-2)*(n-3) + ... + 1*0 + 1 for n odd; otherwise, a(n) = n*(n-1) + (n-2)*(n-3) + ... + 2*1.A014112
a(n) = n*(n-1) + (n-2)*(n-3) + ... + 1*0 + 1 for n odd; otherwise, a(n) = n*(n-1) + (n-2)*(n-3) + ... + 2*1.
- a(n) = a(n-1) + 2*a(n-2) with a(0)=0, a(1)=2.A014113
a(n) = a(n-1) + 2*a(n-2) with a(0)=0, a(1)=2.
- Inverse of 105th cyclotomic polynomial.A014114
Inverse of 105th cyclotomic polynomial.
- Order of a certain Clifford group in dimension 2^n (the automorphism group of the Barnes-Wall lattice for n != 3).A014115
Order of a certain Clifford group in dimension 2^n (the automorphism group of the Barnes-Wall lattice for n != 3).
- Order of automorphism group of Barnes-Wall lattice in dimension 2^n.A014116
Order of automorphism group of Barnes-Wall lattice in dimension 2^n.
- Numbers k such that m^(k+1) == m (mod k) holds for all m.A014117
Numbers k such that m^(k+1) == m (mod k) holds for all m.
- Write in binary and read in ternary!.A014118
Write in binary and read in ternary!.
- Inverse of 110th cyclotomic polynomial.A014119
Inverse of 110th cyclotomic polynomial.
- Smallest number of persistence n over product-of-nonzero-digits function.A014120
Smallest number of persistence n over product-of-nonzero-digits function.
- Numbers of form |2^i - 3^j|.A014121
Numbers of form |2^i - 3^j|.
- Numbers of form |2^i +- 3^j|.A014122
Numbers of form |2^i +- 3^j|.
- Inverse of 114th cyclotomic polynomial.A014123
Inverse of 114th cyclotomic polynomial.
- Inverse of 115th cyclotomic polynomial.A014124
Inverse of 115th cyclotomic polynomial.
- Bisection of A001400.A014125
Bisection of A001400.
- Number of partitions of 2*n into at most 4 parts.A014126
Number of partitions of 2*n into at most 4 parts.
- Mirimanoff primes: primes p such that p^2 divides 3^(p-1) - 1.A014127
Mirimanoff primes: primes p such that p^2 divides 3^(p-1) - 1.
- Inverse of 119th cyclotomic polynomial.A014128
Inverse of 119th cyclotomic polynomial.
- Inverse of 120th cyclotomic polynomial.A014129
Inverse of 120th cyclotomic polynomial.
- ((n+3)!/6)*product( 2*k+1, k=0..n).A014130
((n+3)!/6)*product( 2*k+1, k=0..n).
- a(n) = 2*a(n-1) if n odd else 2*a(n-1) + 6.A014131
a(n) = 2*a(n-1) if n odd else 2*a(n-1) + 6.
- Complement of triangular numbers (A000217); also array T(n,k) = ((n+k)^2 + n-k)/2, n, k > 0, read by antidiagonals.A014132
Complement of triangular numbers (A000217); also array T(n,k) = ((n+k)^2 + n-k)/2, n, k > 0, read by antidiagonals.
- Sum of a square and a triangular number.A014133
Sum of a square and a triangular number.
- Numbers that are not the sum of a square (A000290) and a triangular number (A000217).A014134
Numbers that are not the sum of a square (A000290) and a triangular number (A000217).
- Inverse of 126th cyclotomic polynomial.A014135
Inverse of 126th cyclotomic polynomial.
- Not of form x^3 + 2y^3 + 3z^3.A014136
Not of form x^3 + 2y^3 + 3z^3.
- Partial sums of Catalan numbers (A000108).A014137
Partial sums of Catalan numbers (A000108).
- Partial sums of (Catalan numbers starting 1, 2, 5, ...).A014138
Partial sums of (Catalan numbers starting 1, 2, 5, ...).
- Inverse of 130th cyclotomic polynomial.A014139
Inverse of 130th cyclotomic polynomial.
- Apply partial sum operator twice to Catalan numbers.A014140
Apply partial sum operator twice to Catalan numbers.
- Inverse of 132nd cyclotomic polynomial.A014141
Inverse of 132nd cyclotomic polynomial.
- Inverse of 133rd cyclotomic polynomial.A014142
Inverse of 133rd cyclotomic polynomial.
- Partial sums of A014138.A014143
Partial sums of A014138.
- Apply partial sum operator twice to factorials.A014144
Apply partial sum operator twice to factorials.
- Partial sums of A007489.A014145
Partial sums of A007489.
- Partial sums of A003136.A014146
Partial sums of A003136.
- Inverse of 138th cyclotomic polynomial.A014147
Inverse of 138th cyclotomic polynomial.
- a(n) = Sum_{m=1..n} Sum_{k=1..m} prime(k).A014148
a(n) = Sum_{m=1..n} Sum_{k=1..m} prime(k).
- Inverse of 140th cyclotomic polynomial.A014149
Inverse of 140th cyclotomic polynomial.
- Apply partial sum operator thrice to primes.A014150
Apply partial sum operator thrice to primes.
- Apply partial sum operator thrice to Catalan numbers.A014151
Apply partial sum operator thrice to Catalan numbers.
- Inverse of 143rd cyclotomic polynomial.A014152
Inverse of 143rd cyclotomic polynomial.
- Expansion of 1/((1-x)^2*Product_{k>=1} (1-x^k)).A014153
Expansion of 1/((1-x)^2*Product_{k>=1} (1-x^k)).
- Inverse of 145th cyclotomic polynomial.A014154
Inverse of 145th cyclotomic polynomial.
- Sum of a nonnegative cube and a triangular number.A014155
Sum of a nonnegative cube and a triangular number.
- Numbers that are not the sum of a nonnegative cube and a triangular number.A014156
Numbers that are not the sum of a nonnegative cube and a triangular number.
- Numbers that are the sum of 2 cubes and a triangular number.A014157
Numbers that are the sum of 2 cubes and a triangular number.
- Numbers that are not the sum of 2 cubes and a triangular number.A014158
Numbers that are not the sum of 2 cubes and a triangular number.
- Inverse of 150th cyclotomic polynomial.A014159
Inverse of 150th cyclotomic polynomial.
- Apply partial sum operator thrice to partition numbers.A014160
Apply partial sum operator thrice to partition numbers.