A145413 - OEIS

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A145413

Number of spanning trees with degrees 1 and 3 in K_6 X P_n.

90, 50400, 28528560, 15618720960, 8555317093440, 4687533591644160, 2568304253243013120, 1407173820392030238720, 770990635166535068405760, 422425827340189334775152640 (list; graph; refs; listen; history; 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.` `F. Faase, Counting Hamilton cycles in product graphs.` `F. Faase, Results from the counting program`
	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: A200503 A199229 A134648 * A172572 A052277 A172671` `Adjacent sequences: A145410 A145411 A145412 * A145414 A145415 A145416`
	KEYWORD	`nonn`
	AUTHOR	`N. J. A. Sloane (njas(AT)research.att.com), Feb 03 2009`

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Last modified February 17 10:57 EST 2012. Contains 206009 sequences.