

A118282


Conjectured largest number that is not the sum of three generalized ngonal 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
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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 ngonal 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.


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KEYWORD

sign


AUTHOR



STATUS

approved



