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A212703
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Main transitions in systems of n particles with spin 4.
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9
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8, 144, 1944, 23328, 262440, 2834352, 29760696, 306110016, 3099363912, 30993639120, 306837027288, 3012581722464, 29372671794024, 284688972772848, 2745215094595320, 26354064908115072, 252010745683850376, 2401514164751985936, 22814384565143866392
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OFFSET
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1,1
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COMMENTS
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Please, refer to the general explanation in A212697.
This sequence is for base b=9 (see formula), corresponding to spin S=(b-1)/2=4.
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LINKS
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FORMULA
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a(n) = n*(b-1)*b^(n-1). For this sequence, set b=9.
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MATHEMATICA
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LinearRecurrence[{18, -81}, {8, 144}, 30] (* Harvey P. Dale, Jun 28 2017 *)
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PROG
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(PARI): mtrans(n, b) = n*(b-1)*b^(n-1);
for (n=1, 100, write("b212703.txt", n, " ", mtrans(n, 9)))
(PARI) Vec(8*x/(9*x-1)^2 + O(x^100)) \\ Colin Barker, Jun 16 2015
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CROSSREFS
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Cf. A001787, A212697, A212698, A212699, A212700, A212701, A212702, A212704 (b = 2, 3, 4, 5, 6, 7, 8, 10).
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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