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A167592 The second left hand column of triangle A167591. 5

%I #5 Jun 18 2016 00:43:03

%S -2,-8,-16,0,160,896,3584,12288,38400,112640,315392,851968,2236416,

%T 5734400,14417920,35651584,86900736,209190912,498073600,1174405120,

%U 2745171968,6366953472,14663286784,33554432000,76336332800,172738215936

%N The second left hand column of triangle A167591.

%H G. C. Greubel, <a href="/A167592/b167592.txt">Table of n, a(n) for n = 2..1000</a>

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (8,-24,32,-16).

%F a(n) = 2^n*(n^3 - 6*n^2 + 5*n)/12.

%F GF(z) = (8*z - 2)/(1-2*z)^4.

%F a(n) = 8*a(n-1) - 24*a(n-2) + 32*a(n-3) - 16*a(n-4).

%F a(n) - 7*a(n-1) + 18*a(n-2) - 20*a(n-3) + 8*a(n-4) = 1*2^(n-2).

%t LinearRecurrence[{8, -24, 32, -16}, {-2, -8, -16, 0}, 100] (* _G. C. Greubel_, Jun 17 2016 *)

%Y Equals the second left hand column of triangle A167591.

%Y Other left hand columns are A001787, A167593, A168307 and A168308.

%K easy,sign

%O 2,1

%A _Johannes W. Meijer_, Nov 10 2009

%E Formulae and links added by _Johannes W. Meijer_, Nov 23 2009

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Last modified April 23 03:30 EDT 2024. Contains 371906 sequences. (Running on oeis4.)