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Search: id:A033586
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| 0, 12, 40, 84, 144, 220, 312, 420, 544, 684, 840, 1012, 1200, 1404, 1624, 1860, 2112, 2380, 2664, 2964, 3280, 3612, 3960, 4324, 4704, 5100, 5512, 5940, 6384, 6844, 7320, 7812, 8320, 8844, 9384, 9940, 10512, 11100, 11704, 12324, 12960, 13612, 14280
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Number of possible king moves on an n+1 X n+1 chessboard - Ulrich Schimke (ulrschimke(AT)aol.com)
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REFERENCES
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E. Bonsdorff, K. Fabel and O. Riihimaa, Schach und Zahl (Chess and numbers), Walter Rau Verlag, Dusseldorf, 1966.
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LINKS
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Tim Krabbe', Open Chess Diary, see item 221
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FORMULA
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Binomial transform of [12, 28, 16, 0, 0, 0,...] = (12, 40, 84, 144, 220,...) - Gary W. Adamson (qntmpkt(AT)yahoo.com), Oct 24 2007
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EXAMPLE
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3 X 3-Board: King has 4*5 moves, 4*3 moves and 1*8 moves, so a(2)=40
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MATHEMATICA
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Table[4n*(2n + 1), {n, 0, 60}] - Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Apr 08 2006
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CROSSREFS
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Cf. A035005-A035008.
Sequence in context: A139691 A114815 A109766 this_sequence A137389 A012867 A114072
Adjacent sequences: A033583 A033584 A033585 this_sequence A033587 A033588 A033589
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KEYWORD
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nonn,easy,nice
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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More terms from Erich Friedman (erich.friedman(AT)stetson.edu)
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