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A087056 Difference between 2 * n^2 and the next smaller square number. +0
9
1, 4, 2, 7, 1, 8, 17, 7, 18, 4, 17, 32, 14, 31, 9, 28, 2, 23, 46, 16, 41, 7, 34, 63, 25, 56, 14, 47, 1, 36, 73, 23, 62, 8, 49, 92, 34, 79, 17, 64, 113, 47, 98, 28, 81, 7, 62, 119, 41, 100, 18, 79, 142, 56, 121, 31, 98, 4, 73, 144, 46, 119, 17, 92, 169, 63, 142, 32, 113, 196, 82 (list; graph; listen)
OFFSET

1,2

FORMULA

A087056(n) = 2*n^2 - A087055(n) = 2*n^2 - A001951(n)^2 = 2*n^2 - (floor[n*sqrt(2)])^2

EXAMPLE

A087056(10) = 4 because the difference between 2*10^2 = 200 and the next smaller square number (196) is 4.

CROSSREFS

Cf. A001951, A087055, A087057, A087058, A087059, A087060.

Adjacent sequences: A087053 A087054 A087055 this_sequence A087057 A087058 A087059

Sequence in context: A132996 A019182 A019105 this_sequence A076129 A010648 A021238

KEYWORD

easy,nonn

AUTHOR

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

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Last modified October 13 02:37 EDT 2008. Contains 145008 sequences.


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