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Search: id:A093044
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A093044 A Jacobsthal Fibonacci product. +0
1
1, 0, 2, 2, 12, 30, 110, 336, 1118, 3570, 11628, 37510, 121574, 393120, 1272646, 4117594, 13326060, 43122030, 139549054, 451585008, 1461368206, 4729073250, 15303624492, 49523533622, 160261578742, 518617270080, 1678280890550 (list; graph; listen)
OFFSET

0,3

COMMENT

Form a graph from a triangle and its midpoint triangle. A093044 counts closed walks of length n at a vertex of the original triangle.

FORMULA

G.f.: (1-x-5x^2-2x^3)/((1+x-x^2)(1-2x-4x^2)); a(n)=A078008(n)*A000045(n-1); a(n)=(2^n/3+2(-1)^n/3)(((1+sqrt(5))/2)^(n-1)/sqrt(5)-((1-sqrt(5))/2)^(n-1)/sqrt(5)).

CROSSREFS

Sequence in context: A131384 A052612 A130306 this_sequence A033886 A087131 A131444

Adjacent sequences: A093041 A093042 A093043 this_sequence A093045 A093046 A093047

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Mar 22 2004

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Last modified August 29 17:54 EDT 2008. Contains 143238 sequences.


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