A016833 a(n) = (4n+2)^9.

512, 10077696, 1000000000, 20661046784, 198359290368, 1207269217792, 5429503678976, 19683000000000, 60716992766464, 165216101262848, 406671383849472, 922190162669056, 1953125000000000, 3904305912313344, 7427658739644928, 13537086546263552, 23762680013799936

Offset

0,1

Links

Table of n, a(n) for n=0..16.

Index entries for linear recurrences with constant coefficients, signature (10,-45,120,-210,252,-210,120,-45,10,-1).

Formula

From Amiram Eldar, Apr 21 2023: (Start)

a(n) = A016825(n)^9.

a(n) = 2^9*A016761(n).

Sum_{n>=0} 1/a(n) = 511*zeta(9)/262144.

Sum_{n>=0} (-1)^n/a(n) = 277*Pi^9/4227858432. (End)

Mathematica

(4*Range[0, 20]+2)^9 (* or *) LinearRecurrence[{10, -45, 120, -210, 252, -210, 120, -45, 10, -1}, {512, 10077696, 1000000000, 20661046784, 198359290368, 1207269217792, 5429503678976, 19683000000000, 60716992766464, 165216101262848}, 20] (* Harvey P. Dale, May 26 2018 *)

Crossrefs

Cf. A013667, A016761, A016825.

Sequence in context: A013789 A330484 A283935 * A103352 A392143 A013848

Adjacent sequences: A016830 A016831 A016832 * A016834 A016835 A016836

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved