A016830 a(n) = (4*n+2)^6.

64, 46656, 1000000, 7529536, 34012224, 113379904, 308915776, 729000000, 1544804416, 3010936384, 5489031744, 9474296896, 15625000000, 24794911296, 38068692544, 56800235584, 82653950016, 117649000000, 164206490176, 225199600704, 304006671424, 404567235136, 531441000000

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Links

• Index entries for linear recurrences with constant coefficients, signature (7,-21,35,-35,21,-7,1).

Crossrefs

Cf. A016758, A016825, A016826, A016827.

Programs

Mathematica

(4*Range[0,20]+2)^6 (* or *) LinearRecurrence[{7,-21,35,-35,21,-7,1},{64,46656,1000000,7529536,34012224,113379904,308915776},20] (* Harvey P. Dale, Oct 14 2012 *)

Formula

a(n) = 7*a(n-1) - 21*a(n-2) + 35*a(n-3) - 35*a(n-4) + 21*a(n-5) - 7*a(n-6) + a(n-7). - Harvey P. Dale, Oct 14 2012

From Amiram Eldar, Jul 07 2022: (Start)

a(n) = A016825(n)^6 = A016826(n)^3 = A016827(n)^2 = 64*A016758(n).

Sum_{n>=0} 1/a(n) = Pi^6/61440. (End)