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Fifth column of triangle A067402.
2

%I #14 Mar 12 2023 12:41:04

%S 1,9,225,5625,140625,3515625,87890625,2197265625,54931640625,

%T 1373291015625,34332275390625,858306884765625,21457672119140625,

%U 536441802978515625,13411045074462890625,335276126861572265625,8381903171539306640625,209547579288482666015625,5238689482212066650390625

%N Fifth column of triangle A067402.

%H <a href="/index/Rec#order_01">Index entries for linear recurrences with constant coefficients</a>, signature (25).

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

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

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

%F E.g.f.: (16 + 9*exp(25*x))/25. - _Stefano Spezia_, Sep 30 2022

%t Join[{1},NestList[25#&,9,20]] (* _Harvey P. Dale_, Mar 12 2023 *)

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

%Y Cf. A067402.

%K nonn,easy

%O 0,2

%A _Wolfdieter Lang_, Jan 25 2002