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A010987
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Binomial coefficient C(n,34).
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6
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1, 35, 630, 7770, 73815, 575757, 3838380, 22481940, 118030185, 563921995, 2481256778, 10150595910, 38910617655, 140676848445, 482320623240, 1575580702584, 4923689695575, 14771069086725, 42671977361650, 119032357903550, 321387366339585, 841728816603675
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OFFSET
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34,2
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LINKS
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Index entries for linear recurrences with constant coefficients, signature (35, -595, 6545, -52360, 324632, -1623160, 6724520, -23535820, 70607460, -183579396, 417225900, -834451800, 1476337800, -2319959400, 3247943160, -4059928950, 4537567650, -4537567650, 4059928950, -3247943160, 2319959400, -1476337800, 834451800, -417225900, 183579396, -70607460, 23535820, -6724520, 1623160, -324632, 52360, -6545, 595, -35, 1).
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FORMULA
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Sum_{n>=34} 1/a(n) = 34/33.
Sum_{n>=34} (-1)^n/a(n) = A001787(34)*log(2) - A242091(34)/33! = 292057776128*log(2) - 429895798850931019349797/2123581660200 = 0.9728992064... (End)
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MAPLE
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MATHEMATICA
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PROG
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(PARI) x='x+O('x^50); Vec(x^34/(1-x)^35) \\ G. C. Greubel, Nov 23 2017
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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