188568

Appears in sequences

• Number of ways of writing n as the sum of n+1 triangular numbers, divided by n+1.at n=15A106336
• Expansion of psi(x^2)^8 * (psi(x)^8 + psi(-x)^8) / 2 in powers of x^2 where psi() is a Ramanujan theta function.at n=7A135828
• Numbers k such that k^2 + 1 is divisible by a 6th power.at n=24A218565
• Numbers k such that k^2 + 1 is divisible by a 7th power.at n=4A218574
• Number of ways of writing n as the sum of 9 triangular numbers.at n=35A226253
• Expansion of e.g.f. Sum_{k>=1} prime(k)*log(1/(1 - x))^k/k!.at n=7A307773
• Number T(n,k) of colored integer partitions of n using all colors of a k-set such that each block of part i with multiplicity j has a pattern of i*j distinct colors in increasing order; triangle T(n,k), k>=0, k<=n<=A024916(k), read by columns.at n=47A326617