A017323 - OEIS

%I #23 Sep 08 2022 08:44:42

%S 16384,105413504,4586471424,52523350144,319277809664,1338925209984,

%T 4398046511104,12151280273024,29509034655744,64847759419264,

%U 131593177923584,250226879128704,450766669594624,775771085481344

%N a(n) = (10*n + 4)^7.

%H Vincenzo Librandi, <a href="/A017323/b017323.txt">Table of n, a(n) for n = 0..10000</a>

%H <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (8, -28, 56, -70, 56, -28, 8, -1).

%F a(n) = 8*a(n-1) - 28*a(n-2) + 56*a(n-3) - 70*a(n-4) + 56*a(n-5) - 28*a(n-6) + 8*a(n-7) - a(n-8); a(0)=16384, a(1)=105413504, a(2)=4586471424, a(3)=52523350144, a(4)=319277809664, a(5)=1338925209984, a(6)=4398046511104, a(7)=12151280273024. - _Harvey P. Dale_, Aug 26 2015

%p A017323:=n->(10*n+4)^7: seq(A017323(n), n=0..30); # _Wesley Ivan Hurt_, Jan 28 2017

%t (10*Range[0,20]+4)^7 (* or *) LinearRecurrence[{8,-28,56,-70,56,-28,8,-1},{16384,105413504,4586471424,52523350144,319277809664,1338925209984,4398046511104,12151280273024},20] (* _Harvey P. Dale_, Aug 26 2015 *)

%o (Magma) [(10*n+4)^7: n in [0..20] ]; // _Vincenzo Librandi_, Aug 01 2011

%o (PARI) a(n)=(10*n+4)^7 \\ _Charles R Greathouse IV_, Jan 29 2017

%Y Cf. A001015, A017317.

%K nonn,easy

%O 0,1

%A _N. J. A. Sloane_