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

 

Logo

"Email this user" was broken Aug 14 to 9am Aug 16. If you sent someone a message in this period, please send it again.

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A212702 Main transitions in systems of n particles with spin 7/2. 8
7, 112, 1344, 14336, 143360, 1376256, 12845056, 117440512, 1056964608, 9395240960, 82678120448, 721554505728, 6253472382976, 53876069761024, 461794883665920, 3940649673949184, 33495522228568064, 283726776524341248, 2395915001761103872, 20176126330619822080 (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=8 (see formula), corresponding to spin S=(b-1)/2=7/2.

LINKS

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

Index entries for linear recurrences with constant coefficients, signature (16,-64).

FORMULA

a(n) = n*(b-1)*b^(n-1). For this sequence, set b=8.

a(n) = 16*a(n-1)-64*a(n-2). - Colin Barker, Jun 16 2015

G.f.: 7*x / (8*x-1)^2. Colin Barker, Jun 16 2015

MATHEMATICA

LinearRecurrence[{16, -64}, {7, 112}, 30] (* Harvey P. Dale, Feb 11 2016 *)

PROG

(PARI): mtrans(n, b) = n*(b-1)*b^(n-1);

for (n=1, 100, write("b212702.txt", n, " ", mtrans(n, 8)))

(PARI) Vec(7*x/(8*x-1)^2 + O(x^100)) \\ Colin Barker, Jun 16 2015

CROSSREFS

Cf. A001787, A212697, A212698, A212699, A212700, A212701, A212703, A212704 (b = 2, 3, 4, 5, 6, 7, 9, 10).

Sequence in context: A117795 A163700 A094219 * A217223 A067404 A129030

Adjacent sequences:  A212699 A212700 A212701 * A212703 A212704 A212705

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 August 17 23:58 EDT 2017. Contains 290682 sequences.