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 A307504 Expansion of Product_{k>=1} 1/(1-x^k)^((-1)^k*k^k). 2
 1, -1, 4, -31, 293, -3499, 51284, -891276, 17928335, -409921846, 10500040633, -297796771914, 9262574642871, -313459274848233, 11464944476563718, -450647901022275715, 18943108018829605740, -847933752191806388254, 40266301788890216414608, -2021846883773977115156632 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS This sequence is obtained from the generalized Euler transform in A266964 by taking f(n) = (-1)^n * n^n, g(n) = 1. LINKS Seiichi Manyama, Table of n, a(n) for n = 0..386 FORMULA a(n) ~ (-1)^n * n^n * (1 + exp(-1)/n + (exp(-1)/2 + 4*exp(-2))/n^2). - Vaclav Kotesovec, Apr 12 2019 MATHEMATICA nmax=20; CoefficientList[Series[Product[1/(1-x^k)^((-1)^k*k^k), {k, 1, nmax}], {x, 0, nmax}], x] (* Vaclav Kotesovec, Apr 12 2019 *) PROG (PARI) N=20; x='x+O('x^N); Vec(1/prod(k=1, N, (1-x^k)^((-1)^k*k^k))) CROSSREFS Cf. A023880, A266964, A307497. Sequence in context: A192407 A000858 A003436 * A276316 A199683 A114475 Adjacent sequences: A307501 A307502 A307503 * A307505 A307506 A307507 KEYWORD sign AUTHOR Seiichi Manyama, Apr 11 2019 STATUS approved

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Last modified December 9 07:10 EST 2023. Contains 367689 sequences. (Running on oeis4.)