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A067424 Ninth column of triangle A067417. 3

%I #17 Sep 30 2022 02:05:27

%S 1,11,297,8019,216513,5845851,157837977,4261625379,115063885233,

%T 3106724901291,83881572334857,2264802453041139,61149666232110753,

%U 1651040988266990331,44578106683208738937,1203608880446635951299

%N Ninth column of triangle A067417.

%H Vincenzo Librandi, <a href="/A067424/b067424.txt">Table of n, a(n) for n = 0..700</a>

%H <a href="/index/Rec#order_01">Index entries for linear recurrences with constant coefficients</a>, signature (27).

%F a(n) = A067417(n+8, 8).

%F a(n) = 11*(3*9)^(n-1), n >= 1, a(0)=1.

%F G.f.: (1-16*x)/(1-27*x).

%F E.g.f.: (16 + 11*exp(27*x))/27. - _Stefano Spezia_, Sep 30 2022

%t CoefficientList[Series[(1-16x)/(1-27x),{x,0,30}],x] (* or *) LinearRecurrence[{27},{1,11},20] (* _Harvey P. Dale_, Apr 20 2022 *)

%o (Magma) [Ceiling(11*(3*9)^(n-1)): n in [0..20]]; // _Vincenzo Librandi_, Oct 02 2011

%Y Cf. A067417, A067423 (eighth column), A009971 (powers of 27).

%K nonn,easy

%O 0,2

%A _Wolfdieter Lang_, Jan 25 2002

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Last modified April 24 03:00 EDT 2024. Contains 371917 sequences. (Running on oeis4.)