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 A212701 Main transitions in systems of n particles with spin 3. 8
 6, 84, 882, 8232, 72030, 605052, 4941258, 39530064, 311299254, 2421216420, 18643366434, 142367525496, 1079620401678, 8138676874188, 61040076556410, 455765904954528, 3389758918099302, 25124095510618356, 185639150161791186, 1367867422244777160 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Please, refer to the general explanation in A212697. This sequence is for base b=7 (see formula), corresponding to spin S=(b-1)/2=3. LINKS Stanislav Sykora, Table of n, a(n) for n = 1..100 Index entries for linear recurrences with constant coefficients, signature (14,-49). FORMULA a(n) = n*(b-1)*b^(n-1). For this sequence, set b=7. a(n) = 14*a(n-1)-49*a(n-2). - Colin Barker, Jun 16 2015 G.f.: 6*x / (7*x-1)^2. - Colin Barker, Jun 16 2015 MATHEMATICA LinearRecurrence[{14, -49}, {6, 84}, 20] (* Harvey P. Dale, Aug 02 2016 *) PROG (PARI): mtrans(n, b) = n*(b-1)*b^(n-1); for (n=1, 100, write("b212701.txt", n, " ", mtrans(n, 7))) (PARI) Vec(6*x/(7*x-1)^2 + O(x^100)) \\ Colin Barker, Jun 16 2015 CROSSREFS Cf. A001787, A212697, A212698, A212699, A212700, A212702, A212703, A212704 (b = 2, 3, 4, 5, 6, 8, 9, 10). Sequence in context: A119576 A098982 A229455 * A248338 A144514 A244284 Adjacent sequences:  A212698 A212699 A212700 * A212702 A212703 A212704 KEYWORD nonn,easy AUTHOR Stanislav Sykora, May 25 2012 STATUS approved

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Last modified December 17 12:20 EST 2018. Contains 318201 sequences. (Running on oeis4.)