A067419 - OEIS

%I #20 Sep 06 2024 08:06:47

%S 1,6,72,864,10368,124416,1492992,17915904,214990848,2579890176,

%T 30958682112,371504185344,4458050224128,53496602689536,

%U 641959232274432,7703510787293184,92442129447518208,1109305553370218496,13311666640442621952,159739999685311463424

%N Fourth column of triangle A067417.

%H Vincenzo Librandi, <a href="/A067419/b067419.txt">Table of n, a(n) for n = 0..900</a>

%H <a href="/index/Rec#order_01">Index entries for linear recurrences with constant coefficients</a>, signature (12).

%F a(n) = A067417(n+3, 3).

%F a(n) = 6*(3*4)^(n-1), n >= 1, a(0)=1.

%F G.f.: (1-6*x)/(1-12*x).

%F a(n) = Sum_{k=0..n} A134309(n,k)*6^k = Sum_{k=0..n} A055372(n,k)*5^k. - _Philippe Deléham_, Feb 04 2012

%t Join[{1}, NestList[12*# &, 6, 20]] (* _Paolo Xausa_, Sep 03 2024 *)

%o (Magma) [Ceiling(6*(3*4)^(n-1)): n in [0..20]]; // _Vincenzo Librandi_, Oct 02 2011

%Y Cf. A067403 (third column), A067420 (fifth column), A001021 (powers of 12).

%K nonn,easy

%O 0,2

%A _Wolfdieter Lang_, Jan 25 2002