A287166 Smallest number with exactly n representations as a sum of 7 nonzero squares or 0 if no such number exists.

7, 22, 31, 37, 45, 67, 55, 61, 69, 70, 79, 82, 94, 108, 85, 93, 103, 106, 111, 132, 109, 126, 139, 117, 147, 146, 130, 145, 144, 133, 153, 167, 141, 154, 160, 172, 159, 166, 187, 157, 177, 174, 175, 0, 178, 165

Offset

1,1

Links

Table of n, a(n) for n=1..46.

Eric Weisstein's World of Mathematics, Square Number

Index entries for sequences related to sums of squares

Formula

A025431(a(n)) = n for a(n) > 0.

Example

a(1) = 7 because 7 is the smallest number with exactly 1 representation as a sum of 7 nonzero squares: 7 = 1^2 + 1^2 + 1^2 + 1^2 + 1^2 + 1^2 + 1^2;
a(2) = 22 because 22 is the smallest number with exactly 2 representations as a sum of 7 nonzero squares: 22 = 1^2 + 1^2 + 1^2 + 1^2 + 1^2 + 1^2 + 4^2 = 1^2 + 1^2 + 2^2 + 2^2 + 2^2 + 2^2 + 2^2, etc.

Crossrefs

Cf. A016032, A025414, A025416, A025431, A080654, A287165, A287167.

Sequence in context: A297712 A041090 A042639 * A229978 A316840 A063240

Adjacent sequences: A287163 A287164 A287165 * A287167 A287168 A287169

Keyword

nonn

Author

Ilya Gutkovskiy, May 20 2017

Status

approved