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A016835
a(n) = (4n+2)^11.
1
2048, 362797056, 100000000000, 4049565169664, 64268410079232, 584318301411328, 3670344486987776, 17714700000000000, 70188843638032384, 238572050223552512, 717368321110468608, 1951354384207722496, 4882812500000000000, 11384956040305711104, 24986644000165537792
OFFSET
0,1
LINKS
Index entries for linear recurrences with constant coefficients, signature (12,-66,220,-495,792,-924,792,-495,220,-66,12,-1).
FORMULA
From Amiram Eldar, Apr 21 2023: (Start)
a(n) = A016825(n)^11.
a(n) = 2^11*A016763(n).
Sum_{n>=0} 1/a(n) = 2047*zeta(11)/4194304.
Sum_{n>=0} (-1)^n/a(n) = 50521*Pi^11/30440580710400. (End)
MATHEMATICA
Table[(4*n+2)^11, {n, 0, 20}] (* Amiram Eldar, Apr 21 2023 *)
CROSSREFS
KEYWORD
nonn,easy
STATUS
approved