A373297 Euler transform of A373216.

1, 1, 2, 3, 5, 7, 12, 16, 24, 33, 47, 63, 90, 118, 161, 212, 283, 367, 487, 624, 812, 1037, 1332, 1685, 2152, 2700, 3409, 4259, 5333, 6617, 8242, 10165, 12568, 15436, 18970, 23178, 28360, 34487, 41970, 50850, 61599, 74322, 89696, 107809, 129572, 155235, 185881, 221936

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 * 6^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^6).

Prog

(PARI) my(N=50, x='x+O('x^N)); Vec(1/prod(k=1, N, (1-x^k)^(valuation(k, 6)+1)))

Crossrefs

Cf. A092119, A173241, A373295, A373296, A373298.

Cf. A000041, A373216, A373220.

Sequence in context: A122622 A266775 A024790 * A308271 A360622 A275592

Adjacent sequences: A373294 A373295 A373296 * A373298 A373299 A373300

Keyword

nonn

Author

Seiichi Manyama, May 31 2024

Status

approved