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A087059 Difference between 2 * n^2 and the next greater square number. +0
10
2, 1, 7, 4, 14, 9, 2, 16, 7, 25, 14, 1, 23, 8, 34, 17, 47, 28, 7, 41, 18, 56, 31, 4, 46, 17, 63, 32, 82, 49, 14, 68, 31, 89, 50, 9, 71, 28, 94, 49, 2, 72, 23, 97, 46, 124, 71, 16, 98, 41, 127, 68, 7, 97, 34, 128, 63, 161, 94, 25, 127, 56, 162, 89, 14, 124, 47, 161, 82, 1, 119 (list; graph; listen)
OFFSET

1,1

FORMULA

A087059(n) = A087058(n) - 2*n^2 = A087057(n)^2 - 2*n^2 = (1 + A001951(n))^2 - 2*n^2 = (1 + floor[n*sqrt(2)])^2 - 2*n^2

EXAMPLE

A087059(10) = 25 because the difference between 2*10^2 = 200 and the next greater square number (225) is 25.

CROSSREFS

Cf. A001951, A087055, A087056, A087057, A087058, A087060.

Sequence in context: A089225 A075085 A124048 this_sequence A120872 A019642 A048505

Adjacent sequences: A087056 A087057 A087058 this_sequence A087060 A087061 A087062

KEYWORD

easy,nonn

AUTHOR

Jens Voss (jens(AT)voss-ahrensburg.de), Aug 07 2003

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Last modified July 26 23:19 EDT 2008. Contains 142293 sequences.


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