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Search: id:A003768
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| A003768 |
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Number of spanning trees with degrees 1 and 3 in W_4 X P_n. |
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+0
1
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| 2, 16, 144, 1216, 10004, 82608, 682636, 5639688, 46590712, 384898384, 3179752720, 26268806752, 217013752672, 1792809557568, 14810886647616, 122356756509056, 1010822390349184, 8350678243197184
(list; graph; listen)
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OFFSET
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1,1
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REFERENCES
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F. Faase, On the number of specific spanning subgraphs of the graphs G X P_n, Ars Combin. 49 (1998), 129-154.
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LINKS
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F. Faase, On the number of specific spanning subgraphs of the graphs G X P_n, Preliminary version of paper that appeared in Ars Combin. 49 (1998), 129-154.
F. Faase, Counting Hamilton cycles in product graphs
F. Faase, Results from the counting program
F. Faase, Counting Hamilton cycles in product graphs
Index entries for sequences related to trees
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FORMULA
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Faase gives an 8-term linear recurrence on his web page:
a(1) = 2,
a(2) = 16,
a(3) = 144,
a(4) = 1216,
a(5) = 10004,
a(6) = 82608,
a(7) = 682636,
a(8) = 5639688,
a(9) = 46590712,
a(10) = 384898384,
a(11) = 3179752720 and
a(n) = 14a(n-1) - 62a(n-2) + 148a(n-3) - 264a(n-4) + 336a(n-5) - 256a(n-6) + 128a(n-7) - 64a(n-8).
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CROSSREFS
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Sequence in context: A002302 A056662 A151402 this_sequence A024915 A162440 A103885
Adjacent sequences: A003765 A003766 A003767 this_sequence A003769 A003770 A003771
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KEYWORD
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nonn
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AUTHOR
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Frans Faase (Frans_LiXia(AT)wxs.nl)
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EXTENSIONS
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Added recurrence from Faase's web page. - N. J. A. Sloane (njas(AT)research.att.com), Feb 03 2009
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