A016804 a(n) = (4*n)^4.

0, 256, 4096, 20736, 65536, 160000, 331776, 614656, 1048576, 1679616, 2560000, 3748096, 5308416, 7311616, 9834496, 12960000, 16777216, 21381376, 26873856, 33362176, 40960000, 49787136, 59969536, 71639296, 84934656, 100000000, 116985856, 136048896, 157351936, 181063936, 207360000

Offset

0,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..600

Index entries for linear recurrences with constant coefficients, signature (5,-10,10,-5,1).

Formula

a(n) = A155955(n,4) for n > 3. - Reinhard Zumkeller, Jan 31 2009

From Elmo R. Oliveira, Nov 27 2025: (Start)

G.f.: 256*x*(1 + x)*(1 + 10*x + x^2)/(1-x)^5.

E.g.f.: 256*x*(1 + 7*x + 6*x^2 + x^3)*exp(x).

a(n) = 256*A000583(n) = A016744(2*n).

a(n) = 5*a(n-1) - 10*a(n-2) + 10*a(n-3) - 5*a(n-4) + a(n-5). (End)

Mathematica

(4*Range[0, 30])^4 (* Paolo Xausa, Dec 11 2025 *)

Prog

(Magma) [(4*n)^4: n in [0..40]]; // Vincenzo Librandi, Jul 29 2011
(PARI) a(n)=n^4<<8 \\ Charles R Greathouse IV, Jul 29 2011

Crossrefs

Cf. A000583, A016744, A155955.

Sequence in context: A186558 A186554 A200843 * A384791 A115111 A200790

Adjacent sequences: A016801 A016802 A016803 * A016805 A016806 A016807

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved