31914
domain: N
Appears in sequences
- If n mod 2 = 0 then a(n) = n^4/4 - 2*n^2 + 3*n; otherwise, a(n) = n^4/4 - 2*n^2 + 3*n - 5/4.at n=19A064835
- Number of total cyclic orders Z on {1, ..., n+2} such that (i, i+1, i+2) in Z for 1 <= i <= n, and (n+1,n+2,1) in Z.at n=8A295263
- Expansion of 1/(1 - x*Product_{k>=1} 1/(1 + k*x^k)).at n=22A299210
- a(n) is the smallest positive integer which can be represented as the sum of distinct nonzero icosahedral numbers in exactly n ways, or -1 if no such integer exists.at n=26A360215
- Primitive practical numbers of the form 2 * 3^i * prime(k).at n=42A367481
- Numbers k such that the powerful part of the sum of divisors of k (A387726) is greater than or equal to k, and sigma(k) is not itself a powerful number.at n=28A387729