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 A212700 5*n*6^(n-1). 11
 5, 60, 540, 4320, 32400, 233280, 1632960, 11197440, 75582720, 503884800, 3325639680, 21767823360, 141490851840, 914248581120, 5877312307200, 37614798766080, 239794342133760, 1523399350026240 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Main transitions in systems of n particles with spin 5/2. Refer to the general explanation in A212697. This particular sequence is obtained for base b=6, corresponding to spin S=(b-1)/2=5/2. n*(b-1)*b^(n-1): for this sequence, set b=6. Arithmetic derivative of 6^n: a(n) = A003415(6^n). [Bruno Berselli, Oct 22 2013] LINKS Stanislav Sykora, Table of n, a(n) for n = 1..100 Index entries for linear recurrences with constant coefficients, signature (12,-36) FORMULA G.f. 5*x / (6*x-1)^2 . a(n) = 5*A053469(n). - R. J. Mathar, Oct 15 2013 PROG (PARI): mtrans(n, b) = n*(b-1)*b^(n-1); for (n=1, 100, write("b212700.txt", n, " ", mtrans(n, 6))) CROSSREFS Cf. A001787, A212697, A212698, A212699, A212701, A212702, A212703, A212704 (b = 2, 3, 4, 5, 7, 8, 9, 10). Sequence in context: A126275 A059602 A290747 * A099672 A138134 A283779 Adjacent sequences:  A212697 A212698 A212699 * A212701 A212702 A212703 KEYWORD nonn,easy AUTHOR Stanislav Sykora, May 25 2012 STATUS approved

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