cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A055103 Expansion of 4th power of continued fraction 1/ ( 1+q/ ( 1+q^2/ ( 1+q^3/ ( 1+q^4/... )))).

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%I A055103 #15 Apr 16 2017 18:49:11
%S A055103 1,-4,10,-16,15,0,-30,64,-81,60,12,-128,250,-312,234,32,-443,848,
%T A055103 -1014,720,109,-1312,2448,-2880,2033,280,-3550,6512,-7513,5184,744,
%U A055103 -8832,15980,-18252,12492,1712,-20745,37168,-41942,28352,3918,-46288,82146
%N A055103 Expansion of 4th power of continued fraction 1/ ( 1+q/ ( 1+q^2/ ( 1+q^3/ ( 1+q^4/... )))).
%H A055103 Seiichi Manyama, <a href="/A055103/b055103.txt">Table of n, a(n) for n = 0..10000</a>
%H A055103 For the third power see G. E. Andrews, <a href="http://www.jstor.org/stable/2974472">Simplicity and surprise in Ramanujan's "Lost" Notebook</a>, Amer. Math. Monthly, 104 (No. 10, Dec. 1997), 918-925.
%F A055103 a(0) = 1, a(n) = -(4/n)*Sum_{k=1..n} A109091(k)*a(n-k) for n > 0. - _Seiichi Manyama_, Apr 16 2017
%Y A055103 See A007325 for first power (which has an alternative g.f.), A055101 for square, A055102 for cube.
%K A055103 sign,easy
%O A055103 0,2
%A A055103 _N. J. A. Sloane_, Jun 14 2000
%E A055103 More terms from Kok Seng Chua (chuaks(AT)ihpc.nus.edu.sg), Jun 20 2000