cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A067412 Fourth column of triangle A067410.

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%I A067412 #16 Jun 29 2023 15:49:32
%S A067412 1,5,40,320,2560,20480,163840,1310720,10485760,83886080,671088640,
%T A067412 5368709120,42949672960,343597383680,2748779069440,21990232555520,
%U A067412 175921860444160,1407374883553280,11258999068426240
%N A067412 Fourth column of triangle A067410.
%C A067412 The fifth column gives [1,6,60,600,6000,60000,...].
%C A067412 a(n+1) = A157176(A016957(n)). [From _Reinhard Zumkeller_, Feb 24 2009]
%H A067412 <a href="/index/Rec#order_01">Index entries for linear recurrences with constant coefficients</a>, signature (8).
%F A067412 a(n)= A067410(n+3, 3). a(n)= 5*8^(n-1), n>=1, a(0)=1.
%F A067412 G.f.: (1-3*x)/(1-8*x).
%F A067412 E.g.f.: (5*exp(8*x)+3)/8 = exp(4*x)*(cosh(4*x)+sinh(4*x)/4) - _Paul Barry_, Nov 20 2003
%t A067412 Join[{1},NestList[8#&,5,20]] (* or *) CoefficientList[Series[ (1-3x)/ (1-8x),{x,0,20}],x] (* _Harvey P. Dale_, May 14 2011 *)
%Y A067412 Cf. A067411 (third column), A067413 (sixth column), A001018 (powers of 8).
%K A067412 nonn,easy
%O A067412 0,2
%A A067412 _Wolfdieter Lang_, Jan 25 2002