A347774 E.g.f.: Product_{k>=1} 1 / (1 - x^k)^tan(x).
1, 0, 2, 9, 52, 450, 3410, 41748, 415952, 5985144, 79468648, 1263309960, 20581146056, 375092849040, 7053697259856, 144054799315560, 3108398855786496, 70281839877041088, 1687564595412611520, 42264952015652902656, 1114043035100431983744, 30552235678578565203840
Offset: 0
Keywords
Programs
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PARI
N=40; x='x+O('x^N); Vec(serlaplace(1/prod(k=1, N, (1-x^k)^tan(x)))) -
PARI
N=40; x='x+O('x^N); Vec(serlaplace(exp(tan(x)*sum(k=1, N, sigma(k)*x^k/k)))) -
PARI
N=40; x='x+O('x^N); Vec(serlaplace(exp(tan(x)*sum(k=1, N, x^k/(k*(1-x^k))))))
Formula
E.g.f.: exp( tan(x) * Sum_{k>=1} sigma(k)*x^k/k ).
E.g.f.: exp( tan(x) * Sum_{k>=1} x^k/(k*(1 - x^k)) ).