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 A142966 Fourth column (m=3) of triangle A142963 divided by 8. 8

%I

%S 1,58,877,8030,56285,335162,1792749,8904486,41949645,190129090,

%T 837258109,3607669966,15289404989,63975698570,265065915725,

%U 1089837752118,4454225465325,18119738464530,73441531708765,296814738679390,1196884383319261,4817845684107098

%N Fourth column (m=3) of triangle A142963 divided by 8.

%F a(n) = A142693(n+4,3)/8.

%F From _Johannes W. Meijer_, Feb 20 2009: (Start)

%F a(n) = 20a(n-1) - 175*a(n-2) + 882*a(n-3) - 2835*a(n-4) + 6072*a(n-5) - 8777*a(n-6) + 8458*a(n-7) - 5204*a(n-8) + 1848*a(n-9) - 288*a(n-10).

%F a(n) = -(105/2) - (143/3)*n - 14*n^2 - (4/3)*n^3 + 756*2^n + 48*2^n*n^2 + 384*2^n*n - (3645/2)*3^n - 405*3^n*n + 1120*4^n.

%F G.f.: (1 + 38*z - 108*z^2 - 242*z^3 + 839*z^4 - 444*z^5 - 180*z^6)/((1-z)^4*(1-2*z)^3*(1-3*z)^2*(1-4*z)).

%F (End)

%Y Column m=2: 4*A142965.

%Y From _Johannes W. Meijer_, Feb 20 2009: (Start)

%Y Cf. A156925.

%Y Equals A156920(n+3,3).

%Y Equals A156919(n+3,3)/2^n.

%Y (End)

%K nonn,easy

%O 0,2

%A _Wolfdieter Lang_, Sep 15 2008

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Last modified June 16 02:14 EDT 2021. Contains 345055 sequences. (Running on oeis4.)