A016961 a(n) = (6*n + 4)^5.

1024, 100000, 1048576, 5153632, 17210368, 45435424, 102400000, 205962976, 380204032, 656356768, 1073741824, 1680700000, 2535525376, 3707398432, 5277319168, 7339040224, 10000000000, 13382255776, 17623416832, 22877577568, 29316250624, 37129300000, 46525874176

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..3000
• Index entries for linear recurrences with constant coefficients, signature (6,-15,20,-15,6,-1).

Crossrefs

Cf. A016793, A016957, A016958, A016959, A016960.

Subsequence of A000584.

Programs

Magma

[(6*n+4)^5: n in [0..30]]; // Vincenzo Librandi, May 06 2011

Mathematica

a[n_] := (6*n + 4)^5; Array[a, 20, 0] (* Amiram Eldar, Mar 31 2022 *)
LinearRecurrence[{6,-15,20,-15,6,-1},{1024,100000,1048576,5153632,17210368,45435424},30] (* Harvey P. Dale, Jan 01 2025 *)

Formula

From Amiram Eldar, Mar 31 2022: (Start)

a(n) = A016957(n)^5.

a(n) = 32*A016793(n).

Sum_{n>=0} 1/a(n) = 121*zeta(5)/7776 - Pi^5/(11664*sqrt(3)). (End)