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 A029941 Number of symmetric types of (4,2n)-hypergraphs under action of complementing group C(4,2). 1
 1, 15, 50, 225, 590, 1485, 3130, 6435, 11931, 21450, 36220, 59670, 94140, 145350, 217500, 319770, 458981, 648945, 900350, 1233375, 1663850, 2220075, 2924870, 3817125, 4928511, 6310980, 8007640, 10086780, 12605560, 15651900, 19300440, 23662980, 28835081 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS The first g.f. gives a 0 between each two terms of the sequence - Colin Barker, Jul 12 2013 LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..1000 Index entries for linear recurrences with constant coefficients, signature (4,-4,-4,11,-8,0,8,-10,0,8,0,-10,8,0,-8,11,-4,-4,4,-1). FORMULA G.f.: (30/(1-x^2)^8-70/(1-x^4)^4+120/(1-x^8)^2-64/(1-x^16))/16. G.f.: (9*x^12 -21*x^11 +26*x^10 +121*x^9 -149*x^8 +132*x^7 +20*x^6 +68*x^5 -61*x^4 +89*x^3 -6*x^2 +11*x +1) / ((x-1)^8 *(x+1)^4 *(x^2+1)^2 *(x^4+1)). - Colin Barker, Jul 12 2013 MATHEMATICA CoefficientList[Series[(9 x^12 - 21 x^11 + 26 x^10 + 121 x^9 - 149 x^8 + 132 x^7 + 20 x^6 + 68 x^5 - 61 x^4 + 89 x^3 - 6 x^2 + 11 x + 1)/((x - 1)^8 (x + 1)^4 (x^2 + 1)^2 (x^4 + 1)), {x, 0, 40}], x] (* Vincenzo Librandi, Oct 19 2013 *) CROSSREFS Cf. A051502. Sequence in context: A134742 A318084 A191746 * A278909 A194851 A075928 Adjacent sequences:  A029938 A029939 A029940 * A029942 A029943 A029944 KEYWORD nonn,easy AUTHOR Vladeta Jovovic, Jul 13 2000 EXTENSIONS More terms from James A. Sellers, Aug 08 2000 More terms from Colin Barker, Jul 12 2013 STATUS approved

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Last modified October 21 22:47 EDT 2019. Contains 328315 sequences. (Running on oeis4.)