A067424 Ninth column of triangle A067417.

1, 11, 297, 8019, 216513, 5845851, 157837977, 4261625379, 115063885233, 3106724901291, 83881572334857, 2264802453041139, 61149666232110753, 1651040988266990331, 44578106683208738937, 1203608880446635951299

Offset: 0

Author

Wolfdieter Lang, Jan 25 2002

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..700
• Index entries for linear recurrences with constant coefficients, signature (27).

Crossrefs

Cf. A067417, A067423 (eighth column), A009971 (powers of 27).

Programs

Magma

[Ceiling(11*(3*9)^(n-1)): n in [0..20]]; // Vincenzo Librandi, Oct 02 2011

Mathematica

CoefficientList[Series[(1-16x)/(1-27x),{x,0,30}],x] (* or *) LinearRecurrence[{27},{1,11},20] (* Harvey P. Dale, Apr 20 2022 *)

Formula

a(n) = A067417(n+8, 8).

a(n) = 11*(3*9)^(n-1), n >= 1, a(0)=1.

G.f.: (1-16*x)/(1-27*x).

E.g.f.: (16 + 11*exp(27*x))/27. - Stefano Spezia, Sep 30 2022