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 A282584 #9 Feb 16 2025 08:33:41
%S A282584 1,1,2,4,8,16,32,64,128,256,511,1022,2042,4081,8156,16300,32576,65104,
%T A282584 130112,260032,519681,1038595,2075660,4148259,8290402,16568581,
%U A282584 33112734,66176648,132255728,264316464,528243231,1055707644,2109858797,4216606912,8426997041,16841569684,33658308890,67266993433
%N A282584 Number of compositions (ordered partitions) of n into decimal palindromes (A002113).
%H A282584 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/PalindromicNumber.html">Palindromic Number</a>
%H A282584 <a href="/index/Pac#palindromes">Index entries for sequences related to palindromes</a>
%H A282584 <a href="/index/Com#comp">Index entries for sequences related to compositions</a>
%F A282584 G.f.: 1/(1 - Sum_{k>=2} x^A002113(k)).
%e A282584 a(4) = 8 because we have [4], [3, 1], [2, 2], [2, 1, 1], [1, 3], [1, 2, 1], [1, 1, 2] and [1, 1, 1, 1].
%t A282584 nmax = 37; CoefficientList[Series[1/(1 - Sum[Boole[PalindromeQ[k]] x^k, {k, 1, nmax}]), {x, 0, nmax}], x]
%Y A282584 Cf. A002113, A091580, A091581, A260254, A261422.
%K A282584 nonn,base
%O A282584 0,3
%A A282584 _Ilya Gutkovskiy_, Feb 19 2017