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A107399
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a(n) = C(n+8,8)*C(n+10,8).
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0
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45, 1485, 22275, 212355, 1486485, 8281845, 38648610, 156434850, 563165460, 1837398420, 5512195260, 15380181180, 40281426900, 99773995860, 235181561670, 530311364550, 1149007956525, 2401177618125, 4855714738875, 9528883810875, 18191505457125
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OFFSET
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0,1
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LINKS
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Index entries for linear recurrences with constant coefficients, signature (17,-136,680,-2380,6188,-12376,19448,-24310,24310,-19448,12376,-6188,2380,-680,136,-17,1).
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FORMULA
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Sum_{n>=0} 1/a(n) = 64064*Pi^2/3 - 2987552614/14175.
Sum_{n>=0} (-1)^n/a(n) = 57237184/14175 - 262144*log(2)/45. (End)
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EXAMPLE
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If n=0 then C(0+8,8)*C(0+10,8) = C(8,8)*C(10,8) = 1*45 = 45.
If n=4 then C(7+8,8)*C(7+10,8) = C(15,8)*C(17,8) = 3003*12870 = 38648610.
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MATHEMATICA
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Table[Binomial[n+8, 8]Binomial[n+10, 8], {n, 0, 20}] (* Harvey P. Dale, Apr 03 2019 *)
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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