id:A144298 - OEIS Search Results

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Number of cycles of length 3 in the queen's graph associated with an n X n chessboard

+0
3

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; listen)

	OFFSET	`0,3`
	FORMULA	`G.f.: g(x)=4x^2(1+6x+5x^2+x^3-x^4)/((1+x)^2(1-x)^5).` `a(n) = A030117(n)+(3n-1)*binomial(n,3).`
	CROSSREFS	`Sequence in context: A016826 A038688 A076830 this_sequence A072109 A045490 A060783` `Adjacent sequences: A144295 A144296 A144297 this_sequence A144299 A144300 A144301`
	KEYWORD	`nonn`
	AUTHOR	`Sergey Perepechko (persn(AT)aport.ru), Dec 04 2008`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

AT&T Labs Research