A287167 Smallest number with exactly n representations as a sum of 8 nonzero squares or 0 if no such number exists.

8, 23, 35, 32, 46, 58, 72, 56, 62, 70, 71, 79, 80, 83, 88, 89, 91, 86, 103, 94, 109, 104, 107, 112, 113, 110, 122, 119, 126, 121, 118, 144, 0, 128, 131, 136, 137, 153, 143, 139, 149, 134, 0, 0, 142, 152, 164, 154

Offset

1,1

Links

Table of n, a(n) for n=1..48.

Eric Weisstein's World of Mathematics, Square Number

Index entries for sequences related to sums of squares

Formula

A025432(a(n)) = n for a(n) > 0.

Example

a(1) = 8 because 8 is the smallest number with exactly 1 representation as a sum of 8 nonzero squares: 8 = 1^2 + 1^2 + 1^2 + 1^2 + 1^2 + 1^2 + 1^2 + 1^2;
a(2) = 23 because 23 is the smallest number with exactly 2 representations as a sum of 8 nonzero squares: 23 = 1^2 + 1^2 + 1^2 + 1^2 + 1^2 + 1^2 + 1^2 + 4^2 = 1^2 + 1^2 + 1^2 + 2^2 + 2^2 + 2^2 + 2^2 + 2^2, etc.

Crossrefs

Cf. A016032, A025414, A025416, A025432, A080654, A287165, A287166.

Sequence in context: A034811 A283848 A341770 * A253975 A003342 A345833

Adjacent sequences: A287164 A287165 A287166 * A287168 A287169 A287170

Keyword

nonn

Author

Ilya Gutkovskiy, May 20 2017

Status

approved