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A125196 Number of magic labelings of the Petersen graph with magic sum n. 0
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; refs; listen; history; internal format)
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+5*r^4/16+25*r^3/24+15*r^2/8+23*r/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 * A100189 A052267 A038166

Adjacent sequences:  A125193 A125194 A125195 * A125197 A125198 A125199

KEYWORD

easy,nonn

AUTHOR

R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 25 2007

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Last modified February 15 05:45 EST 2012. Contains 205694 sequences.