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a(n) = (5n+3)^6.
0

%I #14 Jan 29 2026 20:16:25

%S 729,262144,4826809,34012224,148035889,481890304,1291467969,

%T 3010936384,6321363049,12230590464,22164361129,38068692544,

%U 62523502209,98867482624,151334226289,225199600704,326940373369

%N a(n) = (5n+3)^6.

%H <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (7, -21, 35, -35, 21, -7, 1).

%F G.f.: (-729-257041 x-3007110 x^2-5704070 x^3-2163785 x^4-117201 x^5-64 x^6)/(-1+x)^7 - _Harvey P. Dale_, Nov 15 2025

%t (5*Range[0,20]+3)^6 (* or *) LinearRecurrence[{7,-21,35,-35,21,-7,1},{729,262144,4826809,34012224,148035889,481890304,1291467969},20] (* _Harvey P. Dale_, Nov 15 2025 *)

%K nonn,easy

%O 0,1

%A _N. J. A. Sloane_