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 A357519 #5 Oct 02 2022 10:29:16
%S A357519 1,1,1,2,3,5,8,12,19,30,47,75,118,185,292,460,725,1143,1800,2836,4469,
%T A357519 7042,11097,17485,27550,43411,68403,107783,169834,267606,421666,
%U A357519 664419,1046925,1649640,2599335,4095768,6453698,10169086,16023420,25248087,39783383
%N A357519 Number of compositions (ordered partitions) of n into Jacobsthal numbers 1,3,5,11,21,43, ... (A001045).
%F A357519 G.f.: 1 / (1 - Sum_{k>=2} x^A001045(k)).
%t A357519 nmax = 40; CoefficientList[Series[1/(1 - Sum[x^((2^k - (-1)^k)/3), {k, 2, 20}]), {x, 0, nmax}], x]
%Y A357519 Cf. A001045, A076739, A296371.
%K A357519 nonn
%O A357519 0,4
%A A357519 _Ilya Gutkovskiy_, Oct 02 2022