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A020876 Number of no-leaf edge-subgraphs in Moebius ladder M_n. +0
7
2, 5, 15, 50, 175, 625, 2250, 8125, 29375, 106250, 384375, 1390625, 5031250, 18203125, 65859375, 238281250, 862109375, 3119140625, 11285156250, 40830078125, 147724609375, 534472656250, 1933740234375 (list; graph; listen)
OFFSET

0,1

REFERENCES

J. P. McSorley, Counting structures in the Moebius ladder, Discrete Math., 184 (1998), 137-164.

FORMULA

((5+sqrt(5))/2)^n+((5-sqrt(5))/2)^n.

Let S(n, m)=sum(k=0, n, binomial(n, k)*fibonacci(m*k)), then for n>0 a(n)=S(2*n, 2)/S(n, 2) - Benoit Cloitre (benoit7848c(AT)orange.fr), Oct 22 2003

PROGRAM

sage: [lucas_number2(n, 5, 5) for n in xrange(0, 24)] - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jul 08 2008

CROSSREFS

Sequence in context: A149946 A149947 A149948 this_sequence A093129 A149949 A149950

Adjacent sequences: A020873 A020874 A020875 this_sequence A020877 A020878 A020879

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified December 16 17:18 EST 2009. Contains 170825 sequences.


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