19461
domain: N
Appears in sequences
- Indices of primes in sequence defined by A(0) = 77, A(n) = 10*A(n-1) - 43 for n > 0.at n=8A056257
- A list of equal temperaments (equal divisions of the octave) whose nearest scale steps are closer and closer approximations to the ratios of 8 musical tones: 8/7 16/11 5/4 4/3 3/2 8/5 11/8 7/4.at n=41A060527
- a(n) = p^2 + p + 1 where p runs through the primes.at n=33A060800
- Antidiagonal sums of triangular array T: T(j,1) = 1 for ((j-1) mod 8) < 4, else 0; T(j,k) = T(j-1,k-1) + T(j,k-1) for 2 <= k <= j.at n=29A131077
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, -1, 0), (0, 1, 0), (1, 1, 0), (1, 1, 1)}.at n=7A151170
- a(n) = n*(2*n^2 + 5*n + 15)/2.at n=26A163673
- Partial sums of primes in which no digit is a prime A061372.at n=8A172523
- Sums of powers of permutations of length n.at n=8A192553
- Coefficient of x in the reduction by x^2->x+1 of the polynomial p(n,x) defined below in Comments.at n=20A192759
- Numbers arising in computing the Turan function of cycles of length 4.at n=37A217004
- Expansion of 1/(1 - Sum_{p prime, k>=2} x^(p^k)).at n=65A280605
- Number of partitions of 2n into exactly n nonzero decimal palindromes.at n=43A319454
- Number of strict compositions of n with no three consecutive parts in arithmetic progression.at n=28A325849
- E.g.f. A(x) satisfies A(x) = 1/( 1 - sinh(x * A(x)^(1/2)) / A(x)^(1/2) ).at n=7A381304