A017361 - OEIS

%I #22 Sep 08 2022 08:44:42

%S 40353607,118587876497,7625597484987,129961739795077,1119130473102767,

%T 6351461955384057,27206534396294947,95151694449171437,

%U 285544154243029527,760231058654565217,1838459212420154507,4108400332687853397

%N a(n) = (10*n + 7)^9.

%H Vincenzo Librandi, <a href="/A017361/b017361.txt">Table of n, a(n) for n = 0..10000</a>

%H <a href="/index/Rec#order_10">Index entries for linear recurrences with constant coefficients</a>, signature (10, -45, 120, -210, 252, -210, 120, -45, 10, -1).

%F a(n) = 10*a(n-1) - 45*a(n-2) + 120*a(n-3) - 210*a(n-4) + 252*a(n-5) - 210*a(n-6) + 120*a(n-7) - 45*a(n-8) + 10*a(n-9) - a(n-10); a(0)=40353607, a(1)=118587876497, a(2)=7625597484987, a(3)=129961739795077, a(4)=1119130473102767, a(5)=6351461955384057, a(6)=27206534396294947, a(7)=95151694449171437, a(8)=285544154243029527, a(9)=760231058654565217. - _Harvey P. Dale_, Dec 28 2011

%t (10*Range[0,30]+7)^9 (* or *) LinearRecurrence[{10,-45,120,-210,252,-210,120,-45,10,-1},{40353607,118587876497,7625597484987,129961739795077,1119130473102767,6351461955384057,27206534396294947,95151694449171437,285544154243029527,760231058654565217},30] (* _Harvey P. Dale_, Dec 28 2011 *)

%o (Magma) [(10*n+7)^9: n in [0..20]]; // _Vincenzo Librandi_, Aug 30 2011

%o (PARI) vector(20, n, n--; (10*n+7)^9) \\ _G. C. Greubel_, Nov 10 2018

%Y Cf. A017353 (10n+7), A001017 (n^9).

%K nonn,easy

%O 0,1

%A _N. J. A. Sloane_