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A197194
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a(n) = binomial(n+9, 9)*9^n.
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1
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1, 90, 4455, 160380, 4691115, 118216098, 2659862205, 54717165360, 1046465787510, 18836384175180, 322102169395578, 5270762771927640, 83014513657860330, 1264374900327411180, 18694686026269579590, 269203478778281946096, 3785673920319589866975, 52108688079693178168950, 703467289075857905280825
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OFFSET
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0,2
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LINKS
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FORMULA
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a(n) = C(n + 9, 9)*9^n.
Sum_{n>=0} 1/a(n) = 1358954496*log(9/8) - 44817299757/280.
Sum_{n>=0} (-1)^n/a(n) = 8100000000*log(10/9) - 47791529847/56. (End)
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MATHEMATICA
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Table[Binomial[n+9, 9]9^n, {n, 0, 20}] (* Harvey P. Dale, Feb 22 2020 *)
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PROG
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(Magma) [Binomial(n+9, 9)*9^n: n in [0..20]];
(Python)
for _ in range(10**2):
k *= 9
for i in range(9):
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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