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A145413 Number of spanning trees with degrees 1 and 3 in K_6 X P_n. 0
90, 50400, 28528560, 15618720960, 8555317093440, 4687533591644160, 2568304253243013120, 1407173820392030238720, 770990635166535068405760, 422425827340189334775152640 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
REFERENCES
F. Faase, On the number of specific spanning subgraphs of the graphs G X P_n, Ars Combin. 49 (1998), 129-154.
LINKS
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.
FORMULA
Recurrence:
a(1) = 90,
a(2) = 50400,
a(3) = 28528560,
a(4) = 15618720960,
a(5) = 8555317093440,
a(6) = 4687533591644160,
a(7) = 2568304253243013120,
a(8) = 1407173820392030238720,
a(9) = 770990635166535068405760,
a(10) = 422425827340189334775152640,
a(11) = 231447142314556654419647815680,
a(12) = 126809906538716706435229846241280,
a(13) = 69479157253021351235506090834329600, and
a(n) = 516a(n-1) + 14600a(n-2) + 1541184a(n-3) + 19457664a(n-4) + 56414208a(n-5)
+ 82785024a(n-6) + 219608064a(n-7) - 213166080a(n-8) + 173408256a(n-9) + 21233664a(n-10).
CROSSREFS
Sequence in context: A246634 A270508 A134648 * A367459 A279442 A172572
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Feb 03 2009
STATUS
approved

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Last modified July 21 09:16 EDT 2024. Contains 374472 sequences. (Running on oeis4.)