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A212704 9*n*10^(n-1). 8
9, 180, 2700, 36000, 450000, 5400000, 63000000, 720000000, 8100000000, 90000000000, 990000000000, 10800000000000, 117000000000000, 1260000000000000, 13500000000000000, 144000000000000000, 1530000000000000000, 16200000000000000000 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Main transitions in systems of n particles with spin 9/2.

Please, refer to the general explanation in A212697.

This particular sequence is obtained for base b=10, corresponding to spin S=(b-1)/2=9/2.

Number of 0 needed to write all numbers of n+1 digits. [Bruno Berselli, Jun 30 2014]

LINKS

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

Index entries for linear recurrences with constant coefficients, signature (20,-100).

FORMULA

n*(b-1)*b^(n-1). For this sequence, set b=10.

G.f. 9*x / (10*x-1)^2 . a(n) = 9*A053541(n). - R. J. Mathar, Oct 15 2013

PROG

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

for (n=1, 100, write("b212704.txt", n, " ", mtrans(n, 10)))

CROSSREFS

Cf. A001787, A212697, A212698, A212699, A212700, A212701, A212702, A212703 (b = 2, 3, 4, 5, 6, 7, 8, 9).

Sequence in context: A034221 A034240 A163132 * A231726 A064332 A189803

Adjacent sequences:  A212701 A212702 A212703 * A212705 A212706 A212707

KEYWORD

nonn,easy

AUTHOR

Stanislav Sykora, May 25 2012

STATUS

approved

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Last modified August 22 12:56 EDT 2017. Contains 290948 sequences.