cp's OEIS Frontend

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.

A369339 Number of partitions of n into triangular numbers not greater than sqrt(n).

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%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