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Search: id:A118367
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| A118367 |
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Largest number that is not the sum of five n-gonal numbers. |
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+0
2
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| 0, 0, 0, 26, 47, 188, 245, 343, 494, 821, 901, 1283, 1729, 1972, 2715, 3795, 4030, 4788, 5681, 6379, 6948, 9484, 9913, 10342, 10771, 14064, 15035, 19182, 19865, 20548, 27315, 28194, 29073, 29952, 33351, 34302, 35253, 50772, 52106, 53440, 54774
(list; graph; listen)
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OFFSET
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3,4
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COMMENT
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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.
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REFERENCES
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R. K. Guy, Every number is expressible as the sum of how many polygonal numbers?, Amer. Math. Monthly 101 (1994), 169-172.
Melvyn B. Nathanson, Additive number theory: the classical bases, Springer, 1996.
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LINKS
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Eric Weisstein's World of Mathematics, MathWorld: Polygonal Number
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CROSSREFS
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Sequence in context: A138727 A130771 A039458 this_sequence A137263 A026057 A044078
Adjacent sequences: A118364 A118365 A118366 this_sequence A118368 A118369 A118370
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KEYWORD
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nonn
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AUTHOR
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T. D. Noe (noe(AT)sspectra.com), Apr 25 2006
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