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A016835
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a(n) = (4n+2)^11.
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1
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2048, 362797056, 100000000000, 4049565169664, 64268410079232, 584318301411328, 3670344486987776, 17714700000000000, 70188843638032384, 238572050223552512, 717368321110468608, 1951354384207722496, 4882812500000000000, 11384956040305711104, 24986644000165537792
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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 (12,-66,220,-495,792,-924,792,-495,220,-66,12,-1).
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FORMULA
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Sum_{n>=0} 1/a(n) = 2047*zeta(11)/4194304.
Sum_{n>=0} (-1)^n/a(n) = 50521*Pi^11/30440580710400. (End)
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MATHEMATICA
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Table[(4*n+2)^11, {n, 0, 20}] (* Amiram Eldar, Apr 21 2023 *)
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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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