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A016775 (3*n)^11. 1

%I #16 Sep 08 2022 08:44:41

%S 0,177147,362797056,31381059609,743008370688,8649755859375,

%T 64268410079232,350277500542221,1521681143169024,5559060566555523,

%U 17714700000000000,50542106513726817,131621703842267136,317475837322472439,717368321110468608

%N (3*n)^11.

%H Vincenzo Librandi, <a href="/A016775/b016775.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_12">Index entries for linear recurrences with constant coefficients</a>, signature (12,-66,220,-495,792,-924,792,-495,220,-66,12,-1).

%F From _Wesley Ivan Hurt_, Oct 28 2014: (Start)

%F G.f.: 177147*(x + 2036*x^2 + 152637*x^3 + 2203488*x^4 + 9738114*x^5 + 15724248*x^6 + 9738114*x^7 + 2203488*x^8 + 152637*x^9 + 2036*x^10 + x^11) / (x - 1)^12.

%F a(n) = 12*a(n-1)-66*a(n-2)+220*a(n-3)-495*a(n-4)+792*a(n-5)-924*a(n-6)+792*a(n-7)-495*a(n-8)+220*a(n-9)-66*a(n-10)+12*a(n-11)-a(n-12).

%F a(n) = (3*n)^11 = 177147 * A008455(n) = A008455(A008585(n)). (End)

%p A016775:=n->(3*n)^11: seq(A016775(n), n=0..20); # _Wesley Ivan Hurt_, Oct 28 2014

%t (3 Range[0, 20])^11 (* or *)

%t CoefficientList[Series[177147 (x + 2036 x^2 + 152637 x^3 + 2203488 x^4 + 9738114 x^5 + 15724248 x^6 + 9738114 x^7 + 2203488 x^8 + 152637 x^9 + 2036 x^10 + x^11)/(x - 1)^12, {x, 0, 30}], x] (* _Wesley Ivan Hurt_, Oct 28 2014 *)

%o (Magma) [(3*n)^11: n in [0..20]]; // _Vincenzo Librandi_, May 09 2011

%o (Maxima) A016775(n):=(3*n)^11$

%o makelist(A016775(n),n,0,20); /* _Martin Ettl_, Nov 12 2012 */

%Y Cf. A008455 (11th Powers), A008585 (3n).

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_.

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Last modified March 28 14:38 EDT 2024. Contains 371254 sequences. (Running on oeis4.)