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

0,1

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).

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)

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 *)

Prog

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

Crossrefs

Cf. A016780, A016933, A016934, A016935.

Sequence in context: A222917 A060616 A297387 * A321242 A013721 A337025

Adjacent sequences: A016933 A016934 A016935 * A016937 A016938 A016939

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved