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

0,2

Links

Table of n, a(n) for n=0..18.

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

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

Mathematica

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

Crossrefs

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

Cf. A067402.

Sequence in context: A069075 A218659 A012054 * A063386 A063392 A012831

Adjacent sequences: A067402 A067403 A067404 * A067406 A067407 A067408

Keyword

nonn,easy

Author

Wolfdieter Lang, Jan 25 2002

Status

approved