%I #17 Jan 01 2024 23:43:01

%S 3125,248832,2476099,11881376,39135393,102400000,229345007,459165024,

%T 844596301,1453933568,2373046875,3707398432,5584059449,8153726976,

%U 11592740743,16105100000,21924480357,29316250624

%N a(n) = (7*n + 5)^5.

%H Vincenzo Librandi, <a href="/A017045/b017045.txt">Table of n, a(n) for n = 0..10000</a>

%H <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (6,-15,20,-15,6,-1).

%F G.f.: (3125 + 230082*x + 1029982*x^2 + 694762*x^3 + 58857*x^4 + 32*x^5)/(x-1)^6. - _R. J. Mathar_, Jul 14 2016

%F a(n) = 6*a(n-1) - 15*a(n-2) + 20*a(n-3) - 15*a(n-4) + 6*a(n-5) - a(n-6). - _Wesley Ivan Hurt_, Jan 01 2024

%t (7*Range[0,20]+5)^5 (* or *) LinearRecurrence[{6,-15,20,-15,6,-1},{3125,248832,2476099,11881376,39135393,102400000},20] (* _Harvey P. Dale_, Jan 13 2017 *)

%o (Magma) [(7*n+5)^5: n in [0..30] ]; // _Vincenzo Librandi_, Jul 18 2011

%K nonn,easy

%O 0,1

%A _N. J. A. Sloane_