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.

A118367 Largest number that is not the sum of five n-gonal numbers.

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%I A118367 #8 Feb 16 2025 08:33:01
%S A118367 0,0,0,26,47,188,245,343,494,821,901,1283,1729,1972,2715,3795,4030,
%T A118367 4788,5681,6379,6948,9484,9913,10342,10771,14064,15035,19182,19865,
%U A118367 20548,27315,28194,29073,29952,33351,34302,35253,50772,52106,53440,54774
%N A118367 Largest number that is not the sum of five n-gonal numbers.
%C A118367 Legendre proved that a number N is the sum of five n-gonal numbers if N >= 28(n-2)^3. For odd n, four n-gonal numbers are enough. See A118368.
%D A118367 Melvyn B. Nathanson, Additive number theory: the classical bases, Springer, 1996.
%H A118367 R. K. Guy, <a href="http://www.jstor.org/stable/2324367">Every number is expressible as the sum of how many polygonal numbers?</a>, Amer. Math. Monthly 101 (1994), 169-172.
%H A118367 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/PolygonalNumber.html">Polygonal Number</a>
%Y A118367 Cf. A118368.
%K A118367 nonn
%O A118367 3,4
%A A118367 _T. D. Noe_, Apr 25 2006