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A305553 Numbers that are not the sum of 2 squares and a 4th power. 0
7, 12, 15, 22, 23, 28, 31, 39, 43, 44, 47, 55, 60, 63, 67, 70, 71, 76, 78, 79, 87, 92, 93, 95, 103, 108, 111, 112, 119, 124, 127, 135, 140, 143, 151, 156, 159, 167, 168, 172, 175, 177, 183, 184, 188, 191, 192, 199, 204, 207, 214, 215, 220, 223, 231, 236 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Numbers of the form 4*A017101(k) are terms of this sequence.

m is a term iff 16m is also.

LINKS

Table of n, a(n) for n=1..56.

W. Jagy and I. Kaplansky, Sums of Squares, Cubes and Higher Powers, Experimental Mathematics, vol. 4 (1995) pp. 169-173.

MATHEMATICA

n=239;

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)}];

Complement[Range[0, n], t]

CROSSREFS

Subsequence of A000037, A140823 and A022544.

A004215 and A214891 are subsequences.

Cf. A017101, A022552.

Sequence in context: A138615 A210254 A071780 * A338103 A190720 A295625

Adjacent sequences:  A305550 A305551 A305552 * A305554 A305555 A305556

KEYWORD

nonn

AUTHOR

XU Pingya, Jun 20 2018

STATUS

approved

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Last modified July 28 09:10 EDT 2021. Contains 346322 sequences. (Running on oeis4.)