A383628 Expansion of 1/( Product_{k=0..3} (1 - (4*k+1) * x) )^(1/4).
1, 7, 59, 553, 5555, 58597, 640789, 7201383, 82659891, 964698805, 11408855809, 136374495803, 1644405320701, 19971195162107, 244004256374395, 2996243293813273, 36950056359522771, 457349452121086917, 5678884294812093329, 70710759962448700955, 882616583068179751945
Offset: 0
Keywords
Programs
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PARI
my(N=30, x='x+O('x^N)); Vec(1/prod(k=0, 3, 1-(4*k+1)*x)^(1/4))
Formula
a(n) ~ 13^(n + 3/4) / (Gamma(1/4) * 2^(7/4) * 3^(1/4) * n^(3/4)). - Vaclav Kotesovec, Aug 18 2025