A373296 Euler transform of A055457.

1, 1, 2, 3, 5, 8, 12, 17, 25, 35, 51, 69, 96, 129, 175, 235, 312, 410, 539, 700, 913, 1173, 1508, 1923, 2450, 3106, 3921, 4928, 6180, 7715, 9622, 11935, 14783, 18243, 22470, 27601, 33819, 41327, 50407, 61325, 74494, 90244, 109154, 131732, 158725, 190892, 229171, 274633, 328615

Offset

0,3

Links

Table of n, a(n) for n=0..48.

Formula

G.f.: A(x) = 1/Product_{i>=1, j>=0} (1 - x^(i * 5^j)).

Let A(x) be the g.f. of this sequence, and P(x) be the g.f. of A000041, then P(x) = A(x)/A(x^5).

Prog

(PARI) my(N=50, x='x+O('x^N)); Vec(1/prod(k=1, N, (1-x^k)^(valuation(k, 5)+1)))

Crossrefs

Cf. A092119, A173241, A373295, A373297, A373298.

Cf. A000041, A055457, A373219.

Sequence in context: A347448 A024789 A318028 * A200661 A175539 A260795

Adjacent sequences: A373293 A373294 A373295 * A373297 A373298 A373299

Keyword

nonn

Author

Seiichi Manyama, May 31 2024

Status

approved