A016835 a(n) = (4n+2)^11.

2048, 362797056, 100000000000, 4049565169664, 64268410079232, 584318301411328, 3670344486987776, 17714700000000000, 70188843638032384, 238572050223552512, 717368321110468608, 1951354384207722496, 4882812500000000000, 11384956040305711104, 24986644000165537792

Offset

0,1

Links

Table of n, a(n) for n=0..14.

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

Cf. A013669, A016763, A016825.

Sequence in context: A016751 A016799 A323543 * A016883 A016943 A017015

Adjacent sequences: A016832 A016833 A016834 * A016836 A016837 A016838

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved