A212699 Main transitions in systems of n particles with spin 2.

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

Stanislav Sýkora, Magnetic Resonance on OEIS, Stan's NMR Blog (Dec 31, 2014), Retrieved Nov 12, 2019.

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: A283660 A215701 A366667 * A061318 A277652 A190541

Adjacent sequences: A212696 A212697 A212698 * A212700 A212701 A212702

Keyword

nonn,easy

Author

Stanislav Sykora, May 25 2012

Status

approved