A309174 E.g.f. A(x) satisfies: A(x) = (1/(1 - x)) * Product_{k>=2} A(x^k)^(1/k).

1, 1, 3, 11, 65, 369, 3139, 24667, 268449, 2777345, 34932131, 432114891, 6790407073, 97969389361, 1671204338595, 28382893729499, 557174580764609, 10512263160373377, 228918738980395459, 4817409763554888715, 115117419384636141441, 2688602544800222293361

Offset

0,3

Links

Table of n, a(n) for n=0..21.

Formula

E.g.f.: Product_{k>=1} 1/(1 - x^k)^(A074206(k)/k).

Mathematica

terms = 21; A[_] = 1; Do[A[x_] = 1/(1 - x) Product[A[x^k]^(1/k), {k, 2, terms}] + O[x]^(terms + 1) // Normal, terms + 1]; CoefficientList[A[x], x] Range[0, terms]!

Crossrefs

Cf. A074206, A129374, A307604, A309175.

Sequence in context: A199135 A096655 A030226 * A233099 A132101 A280775

Adjacent sequences: A309171 A309172 A309173 * A309175 A309176 A309177

Keyword

nonn

Author

Ilya Gutkovskiy, Jul 15 2019

Status

approved