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A287165
Smallest number with exactly n representations as a sum of 6 nonzero squares or 0 if no such number exists.
2
6, 21, 30, 36, 63, 54, 60, 87, 78, 81, 84, 111, 102, 117, 108, 116, 126, 129, 134, 137, 132, 150, 172, 165, 161, 156, 177, 164, 195, 191, 182, 213, 180, 188, 198, 0, 204, 206, 215, 222, 243, 212, 251, 262, 233, 230
OFFSET
1,1
FORMULA
A025430(a(n)) = n for a(n) > 0.
EXAMPLE
a(1) = 6 because 6 is the smallest number with exactly 1 representation as a sum of 6 nonzero squares: 6 = 1^2 + 1^2 + 1^2 + 1^2 + 1^2 + 1^2;
a(2) = 21 because 21 is the smallest number with exactly 2 representations as a sum of 6 nonzero squares: 21 = 1^2 + 1^2 + 1^2 + 1^2 + 1^2 + 4^2 = 1^2 + 2^2 + 2^2 + 2^2 + 2^2 + 2^2, etc.
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, May 20 2017
STATUS
approved