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 A298269 #20 Feb 16 2025 08:33:53
%S A298269 1,1,2,4,11,29,94,304,1005,3336,11398,38739,132340,451086,1541074,
%T A298269 5242767,17779666,60048847,202124143,677000711,2256910444,7486274436,
%U A298269 24713275977,81162110629,265192045408,862061443031,2788194736946,8972104829849,28726271274133,91515498561954,290116750935925
%N A298269 Number of partitions of the n-th tetrahedral number into tetrahedral numbers.
%H A298269 David A. Corneth, <a href="/A298269/b298269.txt">Table of n, a(n) for n = 0..500</a>
%H A298269 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/TetrahedralNumber.html">Tetrahedral Number</a>
%H A298269 <a href="/index/Ps#pyramidal_numbers">Index to sequences related to pyramidal numbers</a>
%H A298269 <a href="/index/Par#part">Index entries for related partition-counting sequences</a>
%F A298269 a(n) = [x^A000292(n)] Product_{k>=1} 1/(1 - x^A000292(k)).
%F A298269 a(n) = A068980(A000292(n)).
%e A298269 a(3) = 4 because third tetrahedral number is 10 and we have [10], [4, 4, 1, 1], [4, 1, 1, 1, 1, 1, 1] and [1, 1, 1, 1, 1, 1, 1, 1, 1, 1].
%t A298269 Table[SeriesCoefficient[Product[1/(1 - x^(k (k + 1) (k + 2)/6)), {k, 1, n}], {x, 0, n (n + 1) (n + 2)/6}], {n, 0, 30}]
%Y A298269 Cf. A000292, A037444, A068980, A072964, A298857.
%K A298269 nonn
%O A298269 0,3
%A A298269 _Ilya Gutkovskiy_, Jan 27 2018