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

1, 58, 877, 8030, 56285, 335162, 1792749, 8904486, 41949645, 190129090, 837258109, 3607669966, 15289404989, 63975698570, 265065915725, 1089837752118, 4454225465325, 18119738464530, 73441531708765, 296814738679390, 1196884383319261, 4817845684107098

Offset

0,2

Links

Table of n, a(n) for n=0..21.

Formula

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

From Johannes W. Meijer, Feb 20 2009: (Start)

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).

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.

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)).

(End)

Crossrefs

Column m=2: 4*A142965.

From Johannes W. Meijer, Feb 20 2009: (Start)

Cf. A156925.

Equals A156920(n+3,3).

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

(End)

Sequence in context: A172215 A305263 A157252 * A093258 A184599 A160347

Adjacent sequences: A142963 A142964 A142965 * A142967 A142968 A142969

Keyword

nonn,easy

Author

Wolfdieter Lang, Sep 15 2008

Status

approved