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A373297
Euler transform of A373216.
3
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
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)))
KEYWORD
nonn
AUTHOR
Seiichi Manyama, May 31 2024
STATUS
approved