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A212699
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Main transitions in systems of n particles with spin 2.
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8
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4, 40, 300, 2000, 12500, 75000, 437500, 2500000, 14062500, 78125000, 429687500, 2343750000, 12695312500, 68359375000, 366210937500, 1953125000000, 10375976562500, 54931640625000, 289916992187500, 1525878906250000, 8010864257812500, 41961669921875000
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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 particular sequence is obtained for base b=5, corresponding to spin S=(b-1)/2=2.
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LINKS
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FORMULA
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a(n) = n*(b-1)*b^(n-1) where b=5.
a(0)=a(1)=4, a(2)=40, a(n)=10*a(n-1)-25*a (n-2). - Harvey P. Dale, Aug 19 2014
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MATHEMATICA
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Join[{4}, Table[4n*5^(n-1), {n, 20}]] (* or *) Join[{4}, LinearRecurrence[{10, -25}, {4, 40}, 20]] (* Harvey P. Dale, Aug 19 2014 *)
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PROG
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(PARI): mtrans(n, b) = n*(b-1)*b^(n-1);
for (n=1, 100, write("b212699.txt", n, " ", mtrans(n, 5)))
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CROSSREFS
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Cf. A001787, A212697, A212698, A212700, A212701, A212702, A212703, A212704 (b = 2, 3, 4, 6, 7, 8, 9, 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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