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A281266 Main diagonal of A279928. 6

%I #23 May 31 2018 03:53:41

%S 1,-1,-1,-1,23,-51,35,-197,1367,-3889,7649,-26258,112739,-350676,

%T 939623,-3063201,11022167,-35276497,106320311,-344831533,1164544273,

%U -3765456206,11890410454,-38631658591,127610160227,-414671018176,1335126443260,-4348160271568

%N Main diagonal of A279928.

%H Vaclav Kotesovec, <a href="/A281266/b281266.txt">Table of n, a(n) for n = 0..1000</a> (terms 0..100 from Seiichi Manyama)

%F a(n) ~ (-1)^n * c * d^n / sqrt(n), where d = 3.31585574856163070436... and c = 0.20250147602443379616... - _Vaclav Kotesovec_, Apr 17 2017

%F a(n) = [x^n] exp(n*Sum_{k>=1} (-1)^k*x^k/(k*(1 - x^k)^2)). - _Ilya Gutkovskiy_, May 30 2018

%t nmax = 30; Table[SeriesCoefficient[Product[1/(1 + x^k)^(m*k), {k, 1, m}], {x, 0, m}], {m, 0, nmax}] (* _Vaclav Kotesovec_, Apr 17 2017 *)

%Y Cf. A255672, A279928.

%K sign

%O 0,5

%A _Seiichi Manyama_, Apr 13 2017

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Last modified June 4 19:35 EDT 2024. Contains 373102 sequences. (Running on oeis4.)