Sequences

392,541 sequences

a(n)=(# 1's)-(# 0's) in first n terms of A030401.A030411
a(n)=(# 1's)-(# 0's) in first n terms of A030401.
a(n) = (# 1's)-(# 2's) in first n terms of A030401.A030412
a(n) = (# 1's)-(# 2's) in first n terms of A030401.
Write (n+1)st Fibonacci number in base 4 and juxtapose.A030413
Write (n+1)st Fibonacci number in base 4 and juxtapose.
Position of n-th 0 in A030413.A030414
Position of n-th 0 in A030413.
Position of n-th 1 in A030413.A030415
Position of n-th 1 in A030413.
Position of n-th 2 in A030413.A030416
Position of n-th 2 in A030413.
Position of n-th 3 in A030413.A030417
Position of n-th 3 in A030413.
Least k such that the base 4 representation of n begins at s(k), where s=A030413.A030418
Least k such that the base 4 representation of n begins at s(k), where s=A030413.
Length of n-th run of digit 0 in A030413.A030419
Length of n-th run of digit 0 in A030413.
Length of n-th run of digit 1 in A030413.A030420
Length of n-th run of digit 1 in A030413.
Length of n-th run of digit 2 in A030413.A030421
Length of n-th run of digit 2 in A030413.
Length of n-th run of digit 3 in A030413.A030422
Length of n-th run of digit 3 in A030413.
a(n)=(# 1's)-(# 0's) in first n terms of A030413.A030423
a(n)=(# 1's)-(# 0's) in first n terms of A030413.
(# 1's)-(# 2's) in first n terms of A030413.A030424
(# 1's)-(# 2's) in first n terms of A030413.
(# 2's)-(# 3's) in first n terms of A030413.A030425
(# 2's)-(# 3's) in first n terms of A030413.
a(n) = Fibonacci(prime(n)).A030426
a(n) = Fibonacci(prime(n)).
a(n) = prime(Fibonacci(n)).A030427
a(n) = prime(Fibonacci(n)).
a(n) = 0! * 1! * 2! * ... * n! - 1.A030428
a(n) = 0! * 1! * 2! * ... * n! - 1.
a(n+2) = 7*a(n+1) - 7*a(n) - 9*n; a(n+4) = 9*a(n+3) - 22*a(n+2) + 21*a(n+1) - 7*a(n).A030429
a(n+2) = 7*a(n+1) - 7*a(n) - 9*n; a(n+4) = 9*a(n+3) - 22*a(n+2) + 21*a(n+1) - 7*a(n).
Primes of the form 10*n+1.A030430
Primes of the form 10*n+1.
Primes of form 10n+3.A030431
Primes of form 10n+3.
Primes of form 10n+7.A030432
Primes of form 10n+7.
Primes of form 10*k + 9.A030433
Primes of form 10*k + 9.
Values of Newton-Gregory forward interpolating polynomial (1/3)*(2*n-7)*(2*n^2-11*n+18).A030434
Values of Newton-Gregory forward interpolating polynomial (1/3)*(2*n-7)*(2*n^2-11*n+18).
Expansion of g.f. (1 + x - 2*x^2 - x^3)/(1/2 - 2*x^2 + x^4).A030435
Expansion of g.f. (1 + x - 2*x^2 - x^3)/(1/2 - 2*x^2 + x^4).
Expansion of g.f. (1 + x - 2*x^2 - x^3)/(1 - 4*x^2 + 2*x^4).A030436
Expansion of g.f. (1 + x - 2*x^2 - x^3)/(1 - 4*x^2 + 2*x^4).
Decimal expansion of x such that x^x = Pi.A030437
Decimal expansion of x such that x^x = Pi.
a(n) = A030019(n)*n! (or A035051*(n-1)!).A030438
a(n) = A030019(n)*n! (or A035051*(n-1)!).
a(n+1) = smallest number not containing any digits of a(n), working in base 3.A030439
a(n+1) = smallest number not containing any digits of a(n), working in base 3.
Values of Newton-Gregory forward interpolating polynomial (1/3)*(n-1)*(2*n+3)*(2*n-1).A030440
Values of Newton-Gregory forward interpolating polynomial (1/3)*(n-1)*(2*n+3)*(2*n-1).
Values of Newton-Gregory forward interpolating polynomial (1/3)*(2*n - 3)*(2*n^2 - 3*n + 4).A030441
Values of Newton-Gregory forward interpolating polynomial (1/3)*(2*n - 3)*(2*n^2 - 3*n + 4).
Values of Newton-Gregory forward interpolating polynomial (1/6)*(4*n^4 - 60*n^3 + 347*n^2 - 927*n + 978).A030442
Values of Newton-Gregory forward interpolating polynomial (1/6)*(4*n^4 - 60*n^3 + 347*n^2 - 927*n + 978).
Nonzero coefficients in theta series of {E_7}* lattice.A030443
Nonzero coefficients in theta series of {E_7}* lattice.
Number of fixed n-celled polyknights.A030444
Number of fixed n-celled polyknights.
Number of one-sided n-celled polyknights.A030445
Number of one-sided n-celled polyknights.
Number of n-celled polyknights (polyominoes connected by knight's moves).A030446
Number of n-celled polyknights (polyominoes connected by knight's moves).
Number of n-celled polyknights with bilateral symmetry.A030447
Number of n-celled polyknights with bilateral symmetry.
Number of n-celled polyknights without bilateral symmetry.A030448
Number of n-celled polyknights without bilateral symmetry.
Number of elements in the free band (idempotent semigroup) on n generators.A030449
Number of elements in the free band (idempotent semigroup) on n generators.
Related to number of elements in the free band (idempotent semigroup) on n generators.A030450
Related to number of elements in the free band (idempotent semigroup) on n generators.
a(2*n) = n, a(2*n+1) = n+2.A030451
a(2*n) = n, a(2*n+1) = n+2.
Markov numbers satisfying region 5 (x=5) of the equation x^2 + y^2 + z^2 = 3xyz.A030452
Markov numbers satisfying region 5 (x=5) of the equation x^2 + y^2 + z^2 = 3xyz.
Number of linearly ordered Abelian monoids of size n (semigroups with greatest element of the corresponding chain as neutral element); triangular norms on an n-chain.A030453
Number of linearly ordered Abelian monoids of size n (semigroups with greatest element of the corresponding chain as neutral element); triangular norms on an n-chain.
Make a table giving binary expansion of zeta(m) for m = 2, 3, ...; a(n) = number of 1's in n-th column of table (after decimal point).A030454
Make a table giving binary expansion of zeta(m) for m = 2, 3, ...; a(n) = number of 1's in n-th column of table (after decimal point).
Numbers having the same number of digits as letters in their US English spelling.A030455
Numbers having the same number of digits as letters in their US English spelling.
a(0) = 2; a(n) is smallest prime containing a(n-1) as substring.A030456
a(0) = 2; a(n) is smallest prime containing a(n-1) as substring.
Numbers k such that k concatenated with k+1 is prime.A030457
Numbers k such that k concatenated with k+1 is prime.
Primes formed by concatenating n with n+1.A030458
Primes formed by concatenating n with n+1.
Prime p concatenated with next prime is also prime.A030459
Prime p concatenated with next prime is also prime.
Previous prime concatenated with this prime p is a prime.A030460
Previous prime concatenated with this prime p is a prime.