A308283 G.f. A(x) satisfies: A(x) = (1/(1 - x)) * A(x^3)*A(x^5)*A(x^7)* ... *A(x^(2*k-1))* ...

1, 1, 1, 2, 2, 3, 4, 5, 6, 9, 11, 13, 17, 20, 25, 33, 39, 46, 59, 69, 83, 103, 121, 143, 175, 206, 242, 293, 342, 400, 481, 558, 650, 771, 893, 1040, 1225, 1414, 1634, 1912, 2202, 2538, 2954, 3390, 3893, 4517, 5165, 5913, 6820, 7783, 8893, 10212, 11626, 13239, 15156, 17219

Offset

0,4

Links

Vaclav Kotesovec, Table of n, a(n) for n = 0..10000

Formula

G.f.: Product_{k>=1} 1/(1 - x^(2*k-1))^A074206(2*k-1).

Mathematica

terms = 55; A[_] = 1; Do[A[x_] = 1/(1 - x) Product[A[x^(2 k - 1)], {k, 2, terms}] + O[x]^(terms + 1) // Normal, terms + 1]; CoefficientList[A[x], x]

Crossrefs

Cf. A074206, A129374, A308271, A308284.

Sequence in context: A026796 A008925 A266749 * A336133 A238625 A274145

Adjacent sequences: A308280 A308281 A308282 * A308284 A308285 A308286

Keyword

nonn

Author

Ilya Gutkovskiy, May 18 2019

Status

approved