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A118282 Conjectured largest number that is not the sum of three generalized n-gonal numbers, or -1 if there is no largest number. 3
0, -1, 0, 0, 307, -1, 2027, 5200, 18180, -1, 10795, -1, 87740, -1, 75150, 212048, 122818, -1, 146970, 199153, 585513 (list; graph; refs; listen; history; text; internal format)
OFFSET
3,5
COMMENTS
Extensive calculations show that if a(n)>=0, then every number greater than a(n) can be represented as the sum of three generalized n-gonal numbers. a(n)=0 for n=3 and 6 because generalized triangular and generalized hexagonal numbers are the same a triangular numbers and every number can be written as the sum of three triangular numbers. When n is a multiple of 4, there is an infinite set of numbers not representable. For n=14, there appears to be a sparse, but infinite, set of numbers not representable. See A118283 for the number of numbers not representable.
LINKS
CROSSREFS
Cf. A001318 (generalized pentagonal numbers), A085787 (generalized heptagonal numbers), A001082 (generalized octagonal numbers), A118277 (generalized 9-gonal numbers), A118278-A118285.
Sequence in context: A035843 A128477 A028680 * A220475 A282594 A050201
KEYWORD
sign
AUTHOR
T. D. Noe, Apr 21 2006
STATUS
approved

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Last modified February 26 17:09 EST 2024. Contains 370352 sequences. (Running on oeis4.)