

A212701


Main transitions in systems of n particles with spin 3.


8



6, 84, 882, 8232, 72030, 605052, 4941258, 39530064, 311299254, 2421216420, 18643366434, 142367525496, 1079620401678, 8138676874188, 61040076556410, 455765904954528, 3389758918099302, 25124095510618356, 185639150161791186, 1367867422244777160
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OFFSET

1,1


COMMENTS

Please, refer to the general explanation in A212697.
This sequence is for base b=7 (see formula), corresponding to spin S=(b1)/2=3.


LINKS

Stanislav Sykora, Table of n, a(n) for n = 1..100
Index entries for linear recurrences with constant coefficients, signature (14,49).


FORMULA

a(n) = n*(b1)*b^(n1). For this sequence, set b=7.
a(n) = 14*a(n1)49*a(n2).  Colin Barker, Jun 16 2015
G.f.: 6*x / (7*x1)^2.  Colin Barker, Jun 16 2015


MATHEMATICA

LinearRecurrence[{14, 49}, {6, 84}, 20] (* Harvey P. Dale, Aug 02 2016 *)


PROG

(PARI): mtrans(n, b) = n*(b1)*b^(n1);
for (n=1, 100, write("b212701.txt", n, " ", mtrans(n, 7)))
(PARI) Vec(6*x/(7*x1)^2 + O(x^100)) \\ Colin Barker, Jun 16 2015


CROSSREFS

Cf. A001787, A212697, A212698, A212699, A212700, A212702, A212703, A212704 (b = 2, 3, 4, 5, 6, 8, 9, 10).
Sequence in context: A119576 A098982 A229455 * A248338 A144514 A244284
Adjacent sequences: A212698 A212699 A212700 * A212702 A212703 A212704


KEYWORD

nonn,easy


AUTHOR

Stanislav Sykora, May 25 2012


STATUS

approved



