A067426 Sixth column of triangle A067425.

1, 9, 216, 5184, 124416, 2985984, 71663616, 1719926784, 41278242816, 990677827584, 23776267862016, 570630428688384, 13695130288521216, 328683126924509184, 7888395046188220416, 189321481108517289984

Offset: 0

Author

Wolfdieter Lang, Jan 25 2002

Keywords

• nonn
• easy

Comments

The fifth column of A067425 gives [1, 8, 160, 3200, 64000, 1280000, 25600000, ...].

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..700
• Index entries for linear recurrences with constant coefficients, signature (24).

Crossrefs

Cf. A009968 (powers of 24), A067404 (fourth column), A067425, A067427 (seventh column).

Programs

Magma

[Ceiling(9*(4*6)^(n-1)): n in [0..20]]; // Vincenzo Librandi, Oct 02 2011

Mathematica

Table[Ceiling[9(24)^(n-1)],{n,0,15}] (* Paul F. Marrero Romero, Oct 11 2024 *)

Formula

a(n) = A067425(n+5, 5).

a(n) = 9*(4*6)^(n-1), n >= 1, a(0)=1.

G.f.: (1-15*x)/(1-24*x).

E.g.f.: (3*exp(24*x) + 5)/8. - Stefano Spezia, Oct 15 2024