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%I #10 Jun 17 2016 00:09:28
%S -1,0,28,192,880,3328,11200,34816,102144,286720,777216,2048000,
%T 5271552,13303808,33013760,80740352,194969600,465567744,1100742656,
%U 2579496960,5996806144,13841203200,31738298368,72343355392,163997286400
%N The second left hand column of triangle A167580.
%H G. C. Greubel, <a href="/A167581/b167581.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*(2*n^3 - 9*n^2 + 10*n - 3)/12.
%F GF(z) = (4*z^2 + 8*z - 1)/(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-1)
%t LinearRecurrence[{8,-24,32,-16},{-1,0,28,192},30] (* _Harvey P. Dale_, Jan 22 2012 *)
%Y Equals the second left hand column of triangle A167580.
%Y Other left hand columns are A014480 A167582, A168305 and A168306.
%K easy,sign
%O 2,3
%A _Johannes W. Meijer_, Nov 10 2009
%E Formulae and links added by _Johannes W. Meijer_, Nov 23 2009
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