A016936 a(n) = (6*n + 2)^4.

16, 4096, 38416, 160000, 456976, 1048576, 2085136, 3748096, 6250000, 9834496, 14776336, 21381376, 29986576, 40960000, 54700816, 71639296, 92236816, 116985856, 146410000, 181063936, 221533456, 268435456, 322417936, 384160000, 454371856, 533794816, 623201296

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..2000
• Index entries for linear recurrences with constant coefficients, signature (5,-10,10,-5,1).

Crossrefs

Cf. A016780, A016933, A016934, A016935.

Programs

Magma

[(6*n+2)^4: n in [0..30]]; // Vincenzo Librandi, May 04 2011

Mathematica

(6*Range[0,30]+2)^4 (* or *) LinearRecurrence[{5,-10,10,-5,1},{16,4096,38416,160000,456976},30] (* Harvey P. Dale, Aug 22 2012 *)

Formula

a(n) = 5*a(n-1) - 10*a(n-2) + 10*a(n-3) - 5*a(n-4) + a(n-5). - Harvey P. Dale, Aug 22 2012

From Amiram Eldar, Mar 29 2022: (Start)

a(n) = A016933(n)^4 = A016934(n)^2.

a(n) = 16*A016780(n).

Sum_{n>=0} 1/a(n) = PolyGamma(3, 1/3)/7776. (End)