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 A125196 Number of magic labelings of the Petersen graph with magic sum n. 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; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..1000 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; MATHEMATICA CoefficientList[Series[(x^4 + x^3 + 6x^2 + x + 1)/(1 - x)^6/(1 + x), {x, 0, 40}], x] (* Vincenzo Librandi, Dec 12 2012 *) 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, Jan 25 2007 STATUS approved

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