

A118367


Largest number that is not the sum of five ngonal numbers.


1



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
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OFFSET

3,4


COMMENTS

Legendre proved that a number N is the sum of five ngonal numbers if N >= 28(n2)^3. For odd n, four ngonal numbers are enough. See A118368.


REFERENCES

Melvyn B. Nathanson, Additive number theory: the classical bases, Springer, 1996.


LINKS

Table of n, a(n) for n=3..43.
R. K. Guy, Every number is expressible as the sum of how many polygonal numbers?, Amer. Math. Monthly 101 (1994), 169172.
Eric Weisstein's World of Mathematics, Polygonal Number


CROSSREFS

Cf. A118368.
Sequence in context: A039458 A291672 A159651 * A316120 A261932 A324041
Adjacent sequences: A118364 A118365 A118366 * A118368 A118369 A118370


KEYWORD

nonn


AUTHOR

T. D. Noe, Apr 25 2006


STATUS

approved



