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Search: id:A142966
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A142966 Fourth column (m=3) of triangle A142963 divided by 8. +0
7
1, 58, 877, 8030, 56285, 335162, 1792749, 8904486, 41949645, 190129090, 837258109, 3607669966, 15289404989, 63975698570, 265065915725, 1089837752118, 4454225465325, 18119738464530, 73441531708765, 296814738679390, 1196884383319261, 4817845684107098 (list; graph; listen)
OFFSET

0,2

FORMULA

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

Contribution from Johannes W. Meijer (meijgia(AT)hotmail.com), 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.

Contribution from Johannes W. Meijer (meijgia(AT)hotmail.com), Feb 20 2009: (Start)

Cf. A156925

Equals A156920(n+3,3)

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

(End)

Sequence in context: A027987 A141779 A157252 this_sequence A093258 A160347 A017774

Adjacent sequences: A142963 A142964 A142965 this_sequence A142967 A142968 A142969

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de) Sep 15 2008

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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