A373298 - OEIS

%I #11 May 31 2024 14:36:27

%S 1,1,2,3,5,7,11,16,23,32,45,61,84,112,152,200,265,345,451,581,750,960,

%T 1225,1552,1965,2470,3101,3872,4830,5990,7421,9152,11270,13825,16932,

%U 20672,25191,30608,37129,44920,54257,65376,78660,94419,113172,135370,161687,192752

%N Euler transform of A373217.

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

%F 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).

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

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

%Y Cf. A000041, A373217, A373221.

%K nonn

%O 0,3

%A _Seiichi Manyama_, May 31 2024