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 A302357 #4 Apr 06 2018 17:28:59 %S A302357 1,2,12,102,1165,16603,283283,5624556,127309302,3234191224, %T A302357 91094448874,2816800580606,94848640788603,3454303753062123, %U A302357 135278798460362984,5668566821430630300,253050028467629998389,11988740253545762393562 %N A302357 a(n) = coefficient of x^n in the n-th iteration (n-fold self-composition) of the g.f. of Fibonacci numbers (A000045). %H A302357 N. J. A. Sloane, <a href="/transforms.txt">Transforms</a> %e A302357 The initial coefficients of successive iterations of g.f. A(x) = x/(1 - x - x^2) are as follows: %e A302357 n = 1: 0, (1), 1, 2, 3, 5, ... g.f. A(x) %e A302357 n = 2: 0, 1, (2), 6, 17, 50, ... g.f. A(A(x)) %e A302357 n = 3: 0, 1, 3, (12), 48, 197, ... g.f. A(A(A(x))) %e A302357 n = 4: 0, 1, 4, 20, (102), 532, ... g.f. A(A(A(A(x)))) %e A302357 n = 5: 0, 1, 5, 30, 185, (1165), ... g.f. A(A(A(A(A(x))))) %t A302357 Table[SeriesCoefficient[Nest[Function[x, x/(1 - x - x^2)], x, n], {x, 0, n}], {n, 18}] %Y A302357 Cf. A000045, A119821, A158832, A270863, A283679. %K A302357 nonn %O A302357 1,2 %A A302357 _Ilya Gutkovskiy_, Apr 06 2018