19490
domain: N
Appears in sequences
- Denominators of continued fraction convergents to sqrt(157).at n=12A041289
- a(n) = floor(n!/2^n).at n=10A066979
- a(n) = Sum_{i=1..n} C(i+4,5)^2.at n=4A086025
- Number triangle of sums of squared binomial coefficients.at n=50A110197
- Square array of Kekulé numbers for the mirror-symmetrical chevrons Ch(m,n), read by antidiagonals (m,n >= 0).at n=61A123349
- a(1) = 1; a(2*n) = prime(n)*a(n), a(2*n+1) = prime(n)*a(n) + a(n+1), where prime(n) is the n-th prime.at n=28A176716
- G.f.: Sum_{n>=0} x^n / (1-4*x)^(2*n+1) * [Sum_{k=0..n} C(n,k)^2 * x^k] * [Sum_{k=0..n} C(n,k)^2 * 4^k * x^k].at n=5A248055
- Expansion of f(-x^3, -x^7) * f(x^4, x^6) / psi(-x)^2 in powers of x where psi(), f(,) are Ramanujan theta functions.at n=27A259393
- Number of perfect rhythmic tilings of [0,4n-1] with quadruplets.at n=23A261517
- Partial sums of A299283.at n=22A299284
- a(n) = 2*n^3 - 4*n^2 + 6*n - 2 (n>=1).at n=21A304159
- Number of distinct pairs (m, y), where m >= 1 and y is an integer partition of n with no 1's, such that m can be obtained by iteratively adding or multiplying together parts of y until only one part (equal to m) remains.at n=20A319911
- a(n) is the smallest index k such that Sum_{m=1..k} 1/z(m) > n where z(m) is the imaginary part of the m-th nontrivial zero of the Riemann zeta function, n=0,1,2,...at n=5A332614
- Numbers that are the sum of six fourth powers in exactly four ways.at n=37A345816