# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a285444 Showing 1-1 of 1 %I A285444 #15 Oct 11 2017 05:17:24 %S A285444 1,4,6,0,-11,-8,18,32,-10,-72,-42,96,153,-40,-288,-160,344,524,-146, %T A285444 -944,-501,1080,1602,-416,-2727,-1436,2970,4336,-1131,-7176,-3694, %U A285444 7616,10942,-2776,-17562,-8960,18136,25784,-6528,-40608,-20472,41176,57974,-14464 %N A285444 Expansion of Product_{k>0} ((1-x^{5k-2}) * (1-x^{5k-3})/((1-x^{5k-1}) * (1-x^{5k-4})))^4 in powers of x. %H A285444 Seiichi Manyama, Table of n, a(n) for n = 0..10000 %F A285444 a(0) = 1, a(n) = (4/n)*Sum_{k=1..n} A109091(k)*a(n-k) for n > 0. %F A285444 Expansion of 4th power of continued fraction 1 + x/(1 + x^2/(1 + x^3/(1 + x^4/(1 + ...)))). - _Ilya Gutkovskiy_, Apr 19 2017 %Y A285444 Prod_{k>0} ((1-x^{5k-1}) * (1-x^{5k-4})/((1-x^{5k-2}) * (1-x^{5k-3})))^m: this sequence (m=-4), A285443 (m=-3), A285442 (m=-2), A003823 (m=-1), A007325 (m=1), A055101 (m=2), A055102 (m=3), A055103 (m=4). %K A285444 sign %O A285444 0,2 %A A285444 _Seiichi Manyama_, Apr 19 2017 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE