A067405 Fifth column of triangle A067402.

1, 9, 225, 5625, 140625, 3515625, 87890625, 2197265625, 54931640625, 1373291015625, 34332275390625, 858306884765625, 21457672119140625, 536441802978515625, 13411045074462890625, 335276126861572265625, 8381903171539306640625, 209547579288482666015625, 5238689482212066650390625

Offset: 0

Author

Wolfdieter Lang, Jan 25 2002

Keywords

• nonn
• easy

Links

• Index entries for linear recurrences with constant coefficients, signature (25).

Crossrefs

Cf. A067404 (fourth column), A067406 (sixth column), A009969 (powers of 25).

Cf. A067402.

Programs

Mathematica

Join[{1},NestList[25#&,9,20]] (* Harvey P. Dale, Mar 12 2023 *)

Formula

a(n) = A067402(n+4, 4).

a(n) = 9*25^(n-1), n>=1, a(0) = 1.

G.f.: (1-16*x)/(1-25*x).

E.g.f.: (16 + 9*exp(25*x))/25. - Stefano Spezia, Sep 30 2022