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A067722 Least number k such that n (n + k) is a perfect square. 0
1, 3, 6, 9, 5, 15, 18, 21, 10, 7, 30, 33, 15, 39, 42, 45, 9, 51, 14, 57, 25, 63, 66, 69, 30, 11, 78, 21, 35, 87, 90, 93, 18, 99, 102, 105, 13, 111, 114, 117, 50, 123, 126, 129, 55, 35, 138, 141, 27, 15, 22, 153, 65, 159, 42, 165, 70, 171, 174, 177, 75, 183, 186, 49, 17 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

EXAMPLE

a(8) = 10 because 8 (8+10) = 144 = 12^2.

MATHEMATICA

Do[k = 1; While[ !IntegerQ[ Sqrt[ k (k + n)]], k++ ]; Print[k], {n, 0, 75} ]

CROSSREFS

Sequence in context: A197002 A019700 A151862 * A049341 A187082 A137991

Adjacent sequences:  A067719 A067720 A067721 * A067723 A067724 A067725

KEYWORD

nonn

AUTHOR

Robert G. Wilson v (rgwv(AT)rgwv.com), Feb 05 2002

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Last modified February 17 21:13 EST 2012. Contains 206085 sequences.