A067403 Third column of triangle A067402.

1, 5, 45, 405, 3645, 32805, 295245, 2657205, 23914845, 215233605, 1937102445, 17433922005, 156905298045, 1412147682405, 12709329141645, 114383962274805, 1029455660473245, 9265100944259205, 83385908498332845, 750473176484995605, 6754258588364960445, 60788327295284644005

Offset

0,2

Links

Table of n, a(n) for n=0..21.

Index entries for linear recurrences with constant coefficients, signature (9).

Formula

a(n) = A067402(n+2, 2).

a(n) = 5*9^(n-1) for n>=1, a(0) = 1.

G.f.: (1-4*x)/(1-9*x).

E.g.f.: (4 + 5*exp(9*x))/9. - Stefano Spezia, Sep 30 2022

Maple

A067403:=n->5*9^(n-1): 1, seq(A067403(n), n=1..30); # Wesley Ivan Hurt, Apr 09 2017

Mathematica

Join[{1}, NestList[9#&, 5, 30]] (* or *) CoefficientList[Series[ (1-4x)/ (1-9x), {x, 0, 30}], x] (* Harvey P. Dale, Apr 26 2011 *)

Prog

(PARI) Vec((1-4*x)/(1-9*x) + O(x^30)) \\ Michel Marcus, Apr 09 2017

Crossrefs

Cf. A002001 (second column), A067404 (fourth column), A001019 (powers of 9).

Cf. A067402.

Sequence in context: A125836 A001260 A088505 * A173292 A173558 A022022

Adjacent sequences: A067400 A067401 A067402 * A067404 A067405 A067406

Keyword

nonn,easy

Author

Wolfdieter Lang, Jan 25 2002

Status

approved