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A373298
Euler transform of A373217.
3
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
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)))
KEYWORD
nonn
AUTHOR
Seiichi Manyama, May 31 2024
STATUS
approved