A067424 Ninth column of triangle A067417.

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

Offset

0,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..700

Index entries for linear recurrences with constant coefficients, signature (27).

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

Mathematica

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

Prog

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

Crossrefs

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

Sequence in context: A350938 A165390 A213256 * A001538 A101269 A012184

Adjacent sequences: A067421 A067422 A067423 * A067425 A067426 A067427

Keyword

nonn,easy

Author

Wolfdieter Lang, Jan 25 2002

Status

approved