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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, 8010864257812500, 41961669921875000
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 Sýkora, Magnetic Resonance on OEIS, Stan's NMR Blog (Dec 31, 2014), Retrieved Nov 12, 2019.
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: A283660 A215701 A366667 * A061318 A277652 A190541
KEYWORD
nonn,easy
AUTHOR
Stanislav Sykora, May 25 2012
STATUS
approved