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

Author

Seiichi Manyama, May 31 2024

Keywords

• nonn

Crossrefs

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

Cf. A000041, A055457, A373219.

Programs

PARI

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

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).