A296579 - OEIS

%I #15 Oct 10 2019 04:09:12

%S 112,240,368,448,496,624,752,880,960,1008,1136,1264,1392,1472,1520,

%T 1648,1776,1904,1984,2032,2160,2288,2416,2496,2544,2672,2800,2928,

%U 3008,3056,3184,3312,3440,3520,3568,3696,3824,3952,4032,4080,4208,4336,4464,4544,4592

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

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

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

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Legendre%27s_three-square_theorem">Legendre's three-square theorem</a>

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

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

%t t=Union[t1, t2]

%Y Finite subsequence of A004215.

%Y A297970 is a subsequence.

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

%K nonn,fini,full

%O 1,1

%A _XU Pingya_, Jan 30 2018