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 A279278 #7 Jun 05 2025 07:13:53
%S A279278 1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,
%T A279278 1,2,1,0,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0,0,1,2,1,0,1,2,1,0,0,0,1,2,1,
%U A279278 0,1,2,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,1,1,1,1,1,2,1,0,1,2,1,0,1,1,0,1,1,0,1,2,1,0,1,1,0,1,1,0,1,2,1,0,1,2,2
%N A279278 Expansion of Product_{k>=1} (1 + x^(k*(k+1)*(k+2)/6)).
%C A279278 Number of partitions of n into distinct tetrahedral numbers (A000292).
%H A279278 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/TetrahedralNumber.html">Tetrahedral Number</a>
%H A279278 <a href="/index/Ps#pyramidal_numbers">Index to sequences related to pyramidal numbers</a>
%H A279278 <a href="/index/Par#partN">Index entries for related partition-counting sequences</a>
%F A279278 G.f.: Product_{k>=1} (1 + x^(k*(k+1)*(k+2)/6)).
%e A279278 a(35) = 2 because we have [35] and [20, 10, 4, 1].
%t A279278 nmax=120; CoefficientList[Series[Product[1 + x^(k (k + 1) (k + 2)/6), {k, 1, nmax}], {x, 0, nmax}], x]
%Y A279278 Cf. A000292, A007294, A024940, A068980, A350205 (positions of records).
%K A279278 nonn
%O A279278 0,36
%A A279278 _Ilya Gutkovskiy_, Dec 09 2016