S000808


Numbers that are not the sum of 3 generalized 9-gonal numbers.

4, 5, 14, 17, 22, 23, 32, 35, 50, 60, 80, 83, 88, 134, 137, 162, 168, 215, 218, 428, 623, 693, 807, 1532, 1877, 2027

1

S000808

It appears that 2027 is the last number not representable as the sum of 3 generalized 9-gonal numbers.

T. D. Noe, Plot of 26 terms

Eric W. Weisstein, MathWorld: Polygonal Number

(Mma) f = 9; nn = 50; t = Table[k ((f - 2) k - (f - 4))/2, {k, -nn, nn}]; t2 = Select[Union[Flatten[Table[a + b + c, {a, t}, {b, t}, {c, t}]]], # <= t[[-1]] &]; Complement[Range[t[[-1]]], t2]

Cf. A118282S000806-S000819.

nonn,fini

T. D. Noe, Dec 28 2015

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