cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A305553 Numbers that are not the sum of 2 squares and a 4th power.

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%I A305553 #21 Aug 23 2018 17:10:21
%S A305553 7,12,15,22,23,28,31,39,43,44,47,55,60,63,67,70,71,76,78,79,87,92,93,
%T A305553 95,103,108,111,112,119,124,127,135,140,143,151,156,159,167,168,172,
%U A305553 175,177,183,184,188,191,192,199,204,207,214,215,220,223,231,236
%N A305553 Numbers that are not the sum of 2 squares and a 4th power.
%C A305553 Numbers of the form 4*A017101(k) are terms of this sequence.
%C A305553 m is a term iff 16m is also.
%H A305553 W. Jagy and I. Kaplansky, <a href="https://projecteuclid.org/euclid.em/1062621075">Sums of Squares, Cubes and Higher Powers</a>, Experimental Mathematics, vol. 4 (1995) pp. 169-173.
%t A305553 n=239;
%t A305553 t=Union@Flatten@Table[x^2+y^2+z^4, {x,0,n^(1/2)}, {y,x,(n-x^2)^(1/2)}, {z,0,(n-x^2-y^2)^(1/4)}];
%t A305553 Complement[Range[0,n], t]
%Y A305553 Subsequence of A000037, A140823 and A022544.
%Y A305553 A004215 and A214891 are subsequences.
%Y A305553 Cf. A017101, A022552.
%K A305553 nonn
%O A305553 1,1
%A A305553 _XU Pingya_, Jun 20 2018