S000807


Numbers that are not the sum of 3 generalized 8-gonal numbers.

4, 12, 19, 20, 28, 36, 44, 51, 52, 60, 68, 76, 79, 83, 84, 92, 100, 108, 115, 116, 124, 132, 140, 147, 148, 156, 164, 172, 179, 180, 188, 196, 204, 207, 211, 212, 220, 228, 236, 243, 244, 252, 260, 268, 275, 276, 284, 292, 300, 307, 308, 316, 319, 324, 332

1

S000807

This table of numbers appears linear, but it is not quite so.

T. D. Noe, Plot of 1000 terms

T. D. Noe, Table of 1000 terms

Eric W. Weisstein, MathWorld: Polygonal Number

(Mma) f = 8; 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

T. D. Noe, Dec 28 2015

© Tony D Noe 2014-2015