A067406 -id:A067406 - cp's OEIS frontend

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

Wolfdieter Lang, Jan 25 2002

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

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

Cf. A067402.

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

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

A067407 Seventh column of triangle A067402.

Original entry on oeis.org

1, 13, 637, 31213, 1529437, 74942413, 3672178237, 179936733613, 8816899947037, 432028097404813, 21169376772835837, 1037299461868956013, 50827673631578844637, 2490556007947363387213, 122037244389420805973437, 5979824975081619492698413, 293011423778999355142222237

Offset: 0

Wolfdieter Lang, Jan 25 2002

Index entries for linear recurrences with constant coefficients, signature (49).

Cf. A067406 (sixth column), A067408 (eighth column).

Cf. A067402.

a(n) = A067402(n+6, 6).
a(n) = 13*49^(n-1), n>=1, a(0) = 1.
G.f.: (1-36*x)/(1-49*x).
E.g.f.: (36 + 13*exp(49*x))/49. - Stefano Spezia, Sep 30 2022

cp's OEIS Frontend

A067405 Fifth column of triangle A067402.

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