A016966 a(n) = (6*n + 4)^10.

1048576, 10000000000, 1099511627776, 26559922791424, 296196766695424, 2064377754059776, 10485760000000000, 42420747482776576, 144555105949057024, 430804206899405824, 1152921504606846976, 2824752490000000000, 6428888932339941376, 13744803133596058624

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (11,-55,165,-330,462,-462,330,-165,55,-11,1).

Crossrefs

Cf. A016798, A016957, A016958, A016959, A016960, A016961, A016962, A016963, A016964, A016965.

Subsequence of A008454.

Programs

Magma

[(6*n+4)^10: n in [0..20]]; // Vincenzo Librandi, May 07 2011

Mathematica

(6Range[0,20]+4)^10  (* Harvey P. Dale, Feb 23 2011 *)

Formula

From Amiram Eldar, Mar 31 2022: (Start)

a(n) = A016957(n)^10 = A016958(n)^5 = A016961(n)^2.

a(n) = 2^10*A016798(n).

Sum_{n>=0} 1/a(n) = PolyGamma(9, 2/3)/21941965946880. (End)