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.
%I A147558 #6 Jan 09 2024 16:29:42 %S A147558 1,1,1,2,2,3,4,8,8,14,18,29,40,68,88,174,210,344,492,852,1144,1962, %T A147558 2786,4601,6704,11240,16096,27738,39650,64936,97108,168408,236880, %U A147558 397110,589298,979496,1459960,2421132,3604880,6086790 %N A147558 Result of using the Fibonacci numbers as coefficients in an infinite polynomial series in x and then expressing this series as (1+a(1)x)(1+a(2)x^2)(1+a(3)x^3)... %e A147558 From the Fibonacci numbers, beginning 1,1, construct the series 1+x+x^2+2x^3+3x^4+5x^5+... a(1) is always the coefficient of x, here 1. Divide by (1+a(1)x), i.e. here (1+x), to get the quotient (1+a(2)x^2+...), which here gives a(2)=1. Then divide this quotient by (1+a(2)x^2), i.e. here (1+x^2), to get (1+a(3)x^3+...), giving a(3)=1. %Y A147558 Cf. A000045, A147558 %Y A147558 Cf. A147542. [From _R. J. Mathar_, Mar 12 2009] %K A147558 nonn %O A147558 1,4 %A A147558 _Neil Fernandez_, Nov 07 2008 %E A147558 More terms from _R. J. Mathar_, Mar 12 2009