A080883 - OEIS

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A080883

Distance of n to next square.

1, 3, 2, 1, 5, 4, 3, 2, 1, 7, 6, 5, 4, 3, 2, 1, 9, 8, 7, 6, 5, 4, 3, 2, 1, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 19, 18, 17, 16, 15, 14, 13

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OFFSET

0,2

COMMENTS

The following sequences all have the same parity: A004737, A006590, A027052, A071028, A071797, A078358, A078446, A080883. - Jeremy Gardiner, Dec 30 2006

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..1000

FORMULA

a(n) = floor( sqrt(n)+1 )^2 - n.

MAPLE

A080883 := proc(n) (floor(sqrt(n)+1))^2 -n ; end: seq( A080883(n), n=0..40) ; # R. J. Mathar, Aug 08 2009

MATHEMATICA