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A030978 Number of non-attacking knights on n X n board. +0
4
1, 4, 5, 8, 13, 18, 25, 32, 41, 50, 61, 72, 85, 98, 113, 128, 145, 162, 181, 200, 221, 242, 265, 288, 313, 338, 365, 392, 421, 450, 481, 512, 545, 578, 613, 648, 685, 722, 761, 800, 841, 882, 925, 968, 1013, 1058, 1105, 1152, 1201, 1250, 1301, 1352, 1405, 1458 (list; graph; listen)
OFFSET

0,2

REFERENCES

Dudeney, H. E. ``The Knight-Guards.'' #319 in Amusements in Mathematics; New York: Dover, p. 95, 1970.

Madachy, J. S. Madachy's Mathematical Recreations; New York: Dover, pp. 38-39 1979.

LINKS

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

FORMULA

1/2 n^2 if n even > 2, 1/2 (n^2+1) if n odd > 1.

CROSSREFS

Agrees with A000982 for n>1.

Sequence in context: A011980 A061765 A133940 this_sequence A101948 A087475 A019526

Adjacent sequences: A030975 A030976 A030977 this_sequence A030979 A030980 A030981

KEYWORD

nonn,easy

AUTHOR

Eric Weisstein (eric(AT)weisstein.com)

EXTENSIONS

More terms from Erich Friedman (erich.friedman(AT)stetson.edu).

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Last modified December 11 12:57 EST 2009. Contains 170656 sequences.


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