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A212699 Main transitions in systems of n particles with spin 2. 8
4, 40, 300, 2000, 12500, 75000, 437500, 2500000, 14062500, 78125000, 429687500, 2343750000, 12695312500, 68359375000, 366210937500, 1953125000000, 10375976562500, 54931640625000, 289916992187500, 1525878906250000 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

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.

LINKS

Stanislav Sykora, Table of n, a(n) for n = 1..100

Index entries for linear recurrences with constant coefficients, signature (10, -25).

FORMULA

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

MATHEMATICA

Join[{4}, Table[4n*5^(n-1), {n, 20}]] (* or *) Join[{4}, LinearRecurrence[{10, -25}, {4, 40}, 20]] (* Harvey P. Dale, Aug 19 2014 *)

PROG

(PARI): mtrans(n, b) = n*(b-1)*b^(n-1);

for (n=1, 100, write("b212699.txt", n, " ", mtrans(n, 5)))

CROSSREFS

Cf. A001787, A212697, A212698, A212700, A212701, A212702, A212703, A212704 (b = 2, 3, 4, 6, 7, 8, 9, 10).

Sequence in context: A119635 A283660 A215701 * A061318 A277652 A190541

Adjacent sequences:  A212696 A212697 A212698 * A212700 A212701 A212702

KEYWORD

nonn,easy

AUTHOR

Stanislav Sykora, May 25 2012

STATUS

approved

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Last modified August 17 23:58 EDT 2017. Contains 290682 sequences.