A016805 a(n) = (4*n)^5.

0, 1024, 32768, 248832, 1048576, 3200000, 7962624, 17210368, 33554432, 60466176, 102400000, 164916224, 254803968, 380204032, 550731776, 777600000, 1073741824, 1453933568, 1934917632, 2535525376, 3276800000, 4182119424, 5277319168, 6590815232, 8153726976, 10000000000

Offset

0,2

Links

Paolo Xausa, Table of n, a(n) for n = 0..10000

Index entries for linear recurrences with constant coefficients, signature (6,-15,20,-15,6,-1).

Formula

From Elmo R. Oliveira, May 25 2026: (Start)

G.f.: 1024*x*(1 + 26*x + 66*x^2 + 26*x^3 + x^4)/(1 - x)^6.

E.g.f.: 1024*x*(1 + 15*x + 25*x^2 + 10*x^3 + x^4)*exp(x).

a(n) = 1024*A000584(n) = A008586(n)^5 = A000584(A008586(n)).

a(n) = 6*a(n-1) - 15*a(n-2) + 20*a(n-3) - 15*a(n-4) + 6*a(n-5) - a(n-6). (End)

Mathematica

(4*Range[0, 25])^5 (* Paolo Xausa, Dec 11 2025 *)

Crossrefs

Cf. A000584, A008586.

Sequence in context: A247933 A344306 A205349 * A230790 A231843 A223965

Adjacent sequences: A016802 A016803 A016804 * A016806 A016807 A016808

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved