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 A290807 #6 Feb 16 2025 08:33:50
%S A290807 1,1,2,2,3,4,5,6,7,8,10,11,14,15,18,20,23,26,29,32,36,39,44,47,53,57,
%T A290807 63,68,74,81,88,95,103,110,120,128,139,148,159,170,182,195,208,221,
%U A290807 236,250,267,282,300,317,336,355,375,396,418,440,464,487,514,539,568,595,625,655,687,720,754,788
%N A290807 Number of partitions of n into Pell parts (A000129).
%H A290807 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/PellNumber.html">Pell Number</a>
%H A290807 <a href="/index/Par#part">Index entries for sequences related to partitions</a>
%F A290807 G.f.: Product_{k>=1} 1/(1 - x^A000129(k)).
%e A290807 a(5) = 4 because we have [5], [2, 2, 1], [2, 1, 1, 1] and [1, 1, 1, 1, 1].
%t A290807 CoefficientList[Series[Product[1/(1 - x^Fibonacci[k, 2]), {k, 1, 15}], {x, 0, 67}], x]
%Y A290807 Cf. A000129, A007000, A003107, A067592, A067593, A290808.
%K A290807 nonn
%O A290807 0,3
%A A290807 _Ilya Gutkovskiy_, Aug 11 2017