A296579 Numbers that are not the sum of 3 squares and a nonnegative 9th power.

112, 240, 368, 448, 496, 624, 752, 880, 960, 1008, 1136, 1264, 1392, 1472, 1520, 1648, 1776, 1904, 1984, 2032, 2160, 2288, 2416, 2496, 2544, 2672, 2800, 2928, 3008, 3056, 3184, 3312, 3440, 3520, 3568, 3696, 3824, 3952, 4032, 4080, 4208, 4336, 4464, 4544, 4592

Offset: 1

Author

XU Pingya, Jan 30 2018

Keywords

• nonn
• fini
• full

Comments

a(n) consists of the number of forms 16*(8i + 7) (0 <= i <= 152) and 64*(8j + 7) (0 <= j <= 37).

The last term in this sequence is a(191) = 19568 = 16*(8*152 + 7) (see A297970).

Links

• Wikipedia, Legendre's three-square theorem

Crossrefs

Finite subsequence of A004215.

A297970 is a subsequence.

Cf. A004771, A022552, A022557, A022561, A022566, A111151.

Programs

Mathematica

t1=Table[4^2*(8j+7), {j,0,152}];
t2=Table[4^3*(8j+7), {j,0,37}];
t=Union[t1, t2]