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A197321
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a(n) = binomial(n+10, 10)*8^n.
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1
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1, 88, 4224, 146432, 4100096, 98402304, 2099249152, 40785412096, 734137417728, 12398765277184, 198380244434944, 3029807369551872, 44437174753427456, 628956934971588608, 8625695108181786624, 115009268109090488320, 1495120485418176348160, 18996824991195652423680
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OFFSET
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0,2
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LINKS
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Index entries for linear recurrences with constant coefficients, signature (88,-3520,84480,-1351680,15138816,-121110528,692060160,-2768240640,7381975040,-11811160064,8589934592).
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FORMULA
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a(n) = 8^n*C(n+10, 10).
G.f.: 1/(1-8*x)^11.
Sum_{n>=0} 1/a(n) = 3879700814/9 - 3228288560*log(8/7).
Sum_{n>=0} (-1)^n/a(n) = 30993639120*log(9/8) - 229983068738/63. (End)
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MATHEMATICA
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Table[Binomial[n+10, 10]8^n, {n, 0, 20}] (* Harvey P. Dale, Mar 05 2012 *)
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PROG
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(Magma) [8^n*Binomial(n+10, 10): n in [0..20]]
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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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