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 A341794 #7 Feb 20 2021 07:53:56 %S A341794 1,0,0,3,0,0,3,0,0,4,0,0,6,0,0,3,0,0,3,3,0,3,6,0,0,3,0,1,6,0,0,6,0,0, %T A341794 3,0,0,9,3,0,3,3,0,6,0,0,6,3,0,0,0,0,3,6,0,3,6,1,6,0,0,3,6,0,6,0,0,6, %U A341794 3,0,0,3,3,3,6,0,0,9,0,0,0,0,0,9,0,0,6,3,0,9,0,0,12 %N A341794 Number of ways to write n as an ordered sum of 3 nonzero tetrahedral numbers. %F A341794 G.f.: ( Sum_{k>=1} x^binomial(k+2,3) )^3. %t A341794 nmax = 95; CoefficientList[Series[Sum[x^Binomial[k + 2, 3], {k, 1, nmax}]^3, {x, 0, nmax}], x] // Drop[#, 3] & %Y A341794 Cf. A000292, A023533, A023670, A053604, A282582, A341774, A341795, A341796, A341797. %K A341794 nonn %O A341794 3,4 %A A341794 _Ilya Gutkovskiy_, Feb 19 2021