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Search: id:A111500
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A111500 Number of squares in an n X n grid of squares with diagonals. +0
1
1, 10, 31, 72, 137, 234, 367, 544, 769, 1050, 1391, 1800, 2281, 2842, 3487, 4224, 5057, 5994, 7039, 8200, 9481, 10890, 12431, 14112, 15937, 17914, 20047, 22344, 24809, 27450, 30271, 33280, 36481, 39882, 43487, 47304, 51337, 55594, 60079, 64800 (list; graph; listen)
OFFSET

0,2

FORMULA

a(n) = n^3 + n^2/2 - 1/4 + 1/4*(-1)^n

MAPLE

seq(n^3+n^2/2-1/4+1/4*(-1)^n, n=1..65);

CROSSREFS

Cf. A100583.

Sequence in context: A051943 A059306 A041190 this_sequence A042849 A097236 A061485

Adjacent sequences: A111497 A111498 A111499 this_sequence A111501 A111502 A111503

KEYWORD

nonn

AUTHOR

Floor van Lamoen (fvlamoen(AT)hotmail.com), Nov 16 2005

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Last modified November 30 22:12 EST 2008. Contains 150989 sequences.


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