A016960 a(n) = (6*n + 4)^4.

256, 10000, 65536, 234256, 614656, 1336336, 2560000, 4477456, 7311616, 11316496, 16777216, 24010000, 33362176, 45212176, 59969536, 78074896, 100000000, 126247696, 157351936, 193877776, 236421376, 285610000, 342102016, 406586896, 479785216, 562448656, 655360000

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 (5,-10,10,-5,1).

Crossrefs

Cf. A016792, A016957, A016958, A016959.

Subsequence of A000583.

Programs

Magma

[(6*n+4)^4: n in [0..40]]; // Vincenzo Librandi, May 06 2011

Mathematica

(6*Range[0,20]+4)^4 (* or *) LinearRecurrence[{5,-10,10,-5,1},{256,10000,65536,234256,614656},30] (* Harvey P. Dale, Sep 23 2013 *)

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, Sep 23 2013

G.f.: 16*(16+545*x+1131*x^2+251*x^3+x^4)/(1-x)^5. - Harvey P. Dale, Aug 21 2021

From Amiram Eldar, Mar 31 2022: (Start)

a(n) = A016957(n)^4 = A016958(n)^2.

a(n) = 16*A016792(n).

Sum_{n>=0} 1/a(n) = PolyGamma(3, 2/3)/7776. (End)