OFFSET
1,1
COMMENTS
Main transitions in systems of n particles with spin 5/2.
Refer to the general explanation in A212697.
This particular sequence is obtained for base b=6, corresponding to spin S=(b-1)/2=5/2.
n*(b-1)*b^(n-1): for this sequence, set b=6.
Arithmetic derivative of 6^n: a(n) = A003415(6^n). [Bruno Berselli, Oct 22 2013]
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 (12,-36)
FORMULA
G.f. 5*x / (6*x-1)^2. a(n) = 5*A053469(n). - R. J. Mathar, Oct 15 2013
MATHEMATICA
Rest@ CoefficientList[Series[5 x/(6 x - 1)^2, {x, 0, 18}], x] (* or *)
Array[5 # 6^(# - 1) &, 18] (* Michael De Vlieger, Nov 18 2019 *)
PROG
(PARI) mtrans(n, b) = n*(b-1)*b^(n-1);
for (n=1, 100, write("b212700.txt", n, " ", mtrans(n, 6)))
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Stanislav Sykora, May 25 2012
STATUS
approved