id:A163003 - OEIS Search Results

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Number of nX3 binary arrays with all 1s connected and a path of 1s from upper left corner to lower right corner

+0
1

1, 8, 45, 234, 1193, 6049, 30616, 154861, 783150, 3960215, 20025500, 101261654, 512042141, 2589202874, 13092613725, 66204360820, 334770228305, 1692805481383, 8559872259604, 43284012160451, 218870755473698, 1106746006355201 (list; graph; listen)

	OFFSET	`1,2`
	LINKS	`R. H. Hardin, Table of n, a(n) for n=1..100`
	FORMULA	`Empirical: a(n)= 8a(n-1) -17a(n-2) +10a(n-3) +6a(n-4) -14a(n-5) +7a(n-6) +6a(n-7) -a(n-8). G.f.: -x(1+x)(x^4-x^3+x^2+x-1)/ ((x^2+x-1)(x^6-7x^5+x^4+6x^3-11x^2+7x-1)). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 11 2009]`
	CROSSREFS	`Sequence in context: A026852 A110609 A032208 this_sequence A055422 A006887 A009369` `Adjacent sequences: A163000 A163001 A163002 this_sequence A163004 A163005 A163006`
	KEYWORD	`nonn`
	AUTHOR	`Ron Hardin (rhhardin(AT)att.net) Jul 20 2009`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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