A067409 Ninth column of triangle A067402.

1, 17, 1377, 111537, 9034497, 731794257, 59275334817, 4801302120177, 388905471734337, 31501343210481297, 2551608800048985057, 206680312803967789617, 16741105337121390958977, 1356029532306832667677137, 109838392116853446081848097, 8896909761465129132629695857

Offset

0,2

Comments

The tenth column gives [1, 19, 1900, 190000, ...].

Links

Table of n, a(n) for n=0..15.

Index entries for linear recurrences with constant coefficients, signature (81).

Formula

a(n) = A067402(n+8, 8).

a(n) = 17*81^(n-1), n>=1, a(0) = 1.

G.f.: (1-64*x)/(1-81*x).

E.g.f.: (64 + 17*exp(81*x))/81. - Stefano Spezia, Sep 30 2022

Mathematica

Join[{1}, NestList[81#&, 17, 15]] (* Harvey P. Dale, Nov 19 2024 *)

Crossrefs

Cf. A067408 (eighth column).

Cf. A067402.

Sequence in context: A289945 A128542 A316746 * A219562 A183236 A007410

Adjacent sequences: A067406 A067407 A067408 * A067410 A067411 A067412

Keyword

nonn,easy

Author

Wolfdieter Lang, Jan 25 2002

Status

approved