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 A369339 #4 Jan 22 2024 05:54:54 %S A369339 1,1,1,1,1,1,1,1,1,4,4,4,5,5,5,6,6,6,7,7,7,8,8,8,9,9,9,10,10,10,11,11, %T A369339 11,12,12,12,49,49,49,56,56,56,64,64,64,72,72,72,81,81,81,90,90,90, %U A369339 100,100,100,110,110,110,121,121,121,132,132,132,144,144,144,156,156 %N A369339 Number of partitions of n into triangular numbers not greater than sqrt(n). %t A369339 Table[SeriesCoefficient[Product[1/(1 - x^(k (k + 1)/2)), {k, 1, Floor[(Sqrt[1 + 8 Sqrt[n]] - 1)/2]}], {x, 0, n}], {n, 0, 70}] %Y A369339 Cf. A007294, A097356. %K A369339 nonn %O A369339 0,10 %A A369339 _Ilya Gutkovskiy_, Jan 20 2024