A373298 Euler transform of A373217.

1, 1, 2, 3, 5, 7, 11, 16, 23, 32, 45, 61, 84, 112, 152, 200, 265, 345, 451, 581, 750, 960, 1225, 1552, 1965, 2470, 3101, 3872, 4830, 5990, 7421, 9152, 11270, 13825, 16932, 20672, 25191, 30608, 37129, 44920, 54257, 65376, 78660, 94419, 113172, 135370, 161687, 192752

Offset

0,3

Links

Table of n, a(n) for n=0..47.

Formula

G.f.: A(x) = 1/Product_{i>=1, j>=0} (1 - x^(i * 7^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^7).

Prog

(PARI) my(N=50, x='x+O('x^N)); Vec(1/prod(k=1, N, (1-x^k)^(valuation(k, 7)+1)))

Crossrefs

Cf. A092119, A173241, A373295, A373296, A373297.

Cf. A000041, A373217, A373221.

Sequence in context: A308927 A366850 A024791 * A178240 A118084 A232481

Adjacent sequences: A373295 A373296 A373297 * A373299 A373300 A373301

Keyword

nonn

Author

Seiichi Manyama, May 31 2024

Status

approved