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A016955
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a(n) = (6*n + 3)^11.
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2
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177147, 31381059609, 8649755859375, 350277500542221, 5559060566555523, 50542106513726817, 317475837322472439, 1532278301220703125, 6071163615208263051, 20635899893042801193, 62050608388552823487, 168787390185178426269, 422351360321044921875, 984770902183611232881
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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)/362797056.
Sum_{n>=0} (-1)^n/a(n) = 50521*Pi^11/2633035913625600. (End)
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MATHEMATICA
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a[n_] := (6*n + 3)^11; Array[a, 50, 0] (* Amiram Eldar, Mar 30 2022 *)
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PROG
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CROSSREFS
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Cf. A016763, A016945, A016946, A016947, A016948, A016949, A016950, A016951, A016952, A016953, A016954.
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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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