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A081127 11th binomial transform of (0,1,0,0,0,0,0,......). 7

%I

%S 0,1,22,363,5324,73205,966306,12400927,155897368,1929229929,

%T 23579476910,285311670611,3423740047332,40799568897373,

%U 483317970015034,5696247503748615,66835970710650416,781145407680726737

%N 11th binomial transform of (0,1,0,0,0,0,0,......).

%H Vincenzo Librandi, <a href="/A081127/b081127.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (22,-121).

%F a(n) = 22*a(n-1)-121*a(n-2); a(0)=0, a(1)=1.

%F a(n) = n*11^(n-1).

%F G.f. x/(1-11*x)^2.

%F a(n) = A003415(11^n). [_Bruno Berselli_, Oct 22 2013]

%t f[n_]:=n*11^(n-1);f[Range[0,40]] (* _Vladimir Joseph Stephan Orlovsky_, Feb 09 2011*)

%o (MAGMA) [n*11^(n-1): n in [0..30]]; // _Vincenzo Librandi_, Jun 06 2011

%Y Cf. A053541, A081128.

%Y Cf. A038315.

%K easy,nonn

%O 0,3

%A _Paul Barry_, Mar 07 2003

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Last modified May 25 12:30 EDT 2019. Contains 323568 sequences. (Running on oeis4.)