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.

A300414 Expansion of Product_{k>=2} (1 + x^Fibonacci(k))/(1 - x^Fibonacci(k)).

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%I A300414 #5 Mar 06 2018 17:50:34
%S A300414 1,2,4,8,12,20,30,42,62,84,114,154,198,260,332,418,530,654,810,994,
%T A300414 1202,1462,1752,2094,2500,2948,3486,4092,4776,5582,6468,7490,8650,
%U A300414 9928,11406,13036,14862,16934,19196,21758,24592,27706,31216,35038,39284,43990,49100,54798,61008,67798
%N A300414 Expansion of Product_{k>=2} (1 + x^Fibonacci(k))/(1 - x^Fibonacci(k)).
%C A300414 Convolution of the sequences A000119 and A003107.
%H A300414 <a href="/index/Par#part">Index entries for related partition-counting sequences</a>
%F A300414 G.f.: Product_{k>=2} (1 + x^A000045(k))/(1 - x^A000045(k)).
%t A300414 nmax = 49; CoefficientList[Series[Product[(1 + x^Fibonacci[k])/(1 - x^Fibonacci[k]), {k, 2, 20}], {x, 0, nmax}], x]
%Y A300414 Cf. A000045, A000119, A003107, A015128, A080054, A103265, A280263, A280366, A300413, A300415.
%K A300414 nonn
%O A300414 0,2
%A A300414 _Ilya Gutkovskiy_, Mar 05 2018