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A197194 Binomial(n+9, 9)*9^n 1
1, 90, 4455, 160380, 4691115, 118216098, 2659862205, 54717165360, 1046465787510, 18836384175180, 322102169395578, 5270762771927640, 83014513657860330, 1264374900327411180, 18694686026269579590, 269203478778281946096, 3785673920319589866975, 52108688079693178168950, 703467289075857905280825 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..400

FORMULA

a(n) = C(n + 9, 9)*9^n.

G.f.  1 /  (9*x-1)^10 . - R. J. Mathar, Oct 13 2011

MATHEMATICA

Table[Binomial[n+9, 9]9^n, {n, 0, 20}] (* Harvey P. Dale, Feb 22 2020 *)

PROG

(MAGMA) [Binomial(n+9, 9)*9^n: n in [0..20]];

(Python)

A197194_list, m, k = [], [1]*10, 1

for _ in range(10**2):

    A197194_list.append(k*m[-1])

    k *= 9

    for i in range(9):

        m[i+1] += m[i] # Chai Wah Wu, Jan 24 2016

CROSSREFS

Cf. A053108, A081139, A173000, A173187, A173188, A173191, A173192

Sequence in context: A035740 A017753 A221893 * A281580 A111599 A111783

Adjacent sequences:  A197191 A197192 A197193 * A197195 A197196 A197197

KEYWORD

nonn,easy

AUTHOR

Vincenzo Librandi, Oct 13 2011

STATUS

approved

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Last modified January 26 23:54 EST 2022. Contains 350601 sequences. (Running on oeis4.)