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A144298 Number of cycles of length 3 in the queen's graph associated with an n X n chessboard 2
0, 0, 4, 36, 124, 320, 672, 1260, 2152, 3456, 5260, 7700, 10884, 14976, 20104, 26460, 34192, 43520, 54612, 67716, 83020, 100800, 121264, 144716, 171384, 201600, 235612, 273780, 316372, 363776, 416280, 474300, 538144, 608256, 684964, 768740, 859932 (list; graph; refs; listen; history; internal format)
OFFSET

0,3

FORMULA

G.f.: g(x)=4*x^2*(1+6*x+5*x^2+x^3-x^4)/((1+x)^2*(1-x)^5).

a(n) = A030117(n)+(3*n-1)*binomial(n,3).

CROSSREFS

Sequence in context: A193874 A038688 A076830 * A072109 A045490 A060783

Adjacent sequences:  A144295 A144296 A144297 * A144299 A144300 A144301

KEYWORD

nonn

AUTHOR

Sergey Perepechko (persn(AT)aport.ru), Dec 04 2008

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Last modified February 14 15:39 EST 2012. Contains 205635 sequences.