login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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 (list; graph; refs; listen; history; text; internal format)
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=(b-1)/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*(b-1)*b^(n-1). For this sequence, set b=7.

a(n) = 14*a(n-1)-49*a(n-2). - Colin Barker, Jun 16 2015

G.f.: 6*x / (7*x-1)^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*(b-1)*b^(n-1);

for (n=1, 100, write("b212701.txt", n, " ", mtrans(n, 7)))

(PARI) Vec(6*x/(7*x-1)^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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified June 23 18:12 EDT 2017. Contains 288668 sequences.