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.

A167592 The second left hand column of triangle A167591.

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%I A167592 #5 Jun 18 2016 00:43:03
%S A167592 -2,-8,-16,0,160,896,3584,12288,38400,112640,315392,851968,2236416,
%T A167592 5734400,14417920,35651584,86900736,209190912,498073600,1174405120,
%U A167592 2745171968,6366953472,14663286784,33554432000,76336332800,172738215936
%N A167592 The second left hand column of triangle A167591.
%H A167592 G. C. Greubel, <a href="/A167592/b167592.txt">Table of n, a(n) for n = 2..1000</a>
%H A167592 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (8,-24,32,-16).
%F A167592 a(n) = 2^n*(n^3 - 6*n^2 + 5*n)/12.
%F A167592 GF(z) = (8*z - 2)/(1-2*z)^4.
%F A167592 a(n) = 8*a(n-1) - 24*a(n-2) + 32*a(n-3) - 16*a(n-4).
%F A167592 a(n) - 7*a(n-1) + 18*a(n-2) - 20*a(n-3) + 8*a(n-4) = 1*2^(n-2).
%t A167592 LinearRecurrence[{8, -24, 32, -16}, {-2, -8, -16, 0}, 100] (* _G. C. Greubel_, Jun 17 2016 *)
%Y A167592 Equals the second left hand column of triangle A167591.
%Y A167592 Other left hand columns are A001787, A167593, A168307 and A168308.
%K A167592 easy,sign
%O A167592 2,1
%A A167592 _Johannes W. Meijer_, Nov 10 2009
%E A167592 Formulae and links added by _Johannes W. Meijer_, Nov 23 2009