id:A125196 - OEIS Search Results

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Number of magic labelings of the Petersen graph with magic sum n.

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1

1, 6, 27, 87, 228, 513, 1034, 1914, 3315, 5440, 8541, 12921, 18942, 27027, 37668, 51428, 68949, 90954, 118255, 151755, 192456, 241461, 299982, 369342, 450983, 546468, 657489, 785869, 933570, 1102695, 1295496 (list; graph; listen)

	OFFSET	`0,2`
	LINKS	`M. M. Ahmed, Algebraic Combinatorics of Magic Squares, math.CO/0405476.`
	FORMULA	`G.f.: (x^4+x^3+6x^2+x+1)/(1-x)^6/(1+x) [Ahmed].`
	MAPLE	`a := proc(r) local r1 ; r1 := r^5/24+5r^4/16+25r^3/24+15r^2/8+23r/12 ; if r mod 2 = 0 then r1+1 ; else r1+13/16 ; fi ; end: for n from 0 to 30 do printf("%d ", a(n)) ; od;`
	CROSSREFS	`Sequence in context: A124089 A100188 A131985 this_sequence A100189 A052267 A038166` `Adjacent sequences: A125193 A125194 A125195 this_sequence A125197 A125198 A125199`
	KEYWORD	`easy,nonn`
	AUTHOR	`R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 25 2007`

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.

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