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

1,1

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

Table of n, a(n) for n=1..45.

Wikipedia, Legendre's three-square theorem

Mathematica

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

Crossrefs

Finite subsequence of A004215.

A297970 is a subsequence.

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

Sequence in context: A217149 A119684 A235887 * A297970 A296185 A211444

Adjacent sequences: A296576 A296577 A296578 * A296580 A296581 A296582

Keyword

nonn,fini,full

Author

XU Pingya, Jan 30 2018

Status

approved