A196537 - OEIS

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A196537

Number of nX1 0..4 arrays with each element equal to the number its horizontal and vertical neighbors less than or equal to itself

1, 3, 2, 7, 19, 35, 77, 176, 377, 819, 1801, 3927, 8562, 18711, 40855, 89179, 194729, 425184, 928305, 2026855, 4425441, 9662395, 21096706, 46062279, 100571611, 219586403, 479441557, 1046805072, 2285577449, 4990293595, 10895727817 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`1,2`
	COMMENTS	`Column 1 of A196544`
	LINKS	`R. H. Hardin, Table of n, a(n) for n = 1..200`
	FORMULA	`Empirical: a(n) = a(n-1) +a(n-2) +3a(n-3) +a(n-4).` `Empirical: G.f. x(x-1)(x^2+3x+1) / ( -1+x+x^2+3*x^3+x^4 ). - R. J. Mathar, Jul 25 2012`
	EXAMPLE	`All solutions for n=4` `..0....0....1....0....0....1....0` `..2....1....0....2....2....1....2` `..2....2....2....1....1....2....0` `..0....0....0....1....0....0....1`
	CROSSREFS	`Sequence in context: A049970 A104528 A177115 * A173099 A111928 A248054` `Adjacent sequences: A196534 A196535 A196536 * A196538 A196539 A196540`
	KEYWORD	`nonn`
	AUTHOR	`R. H. Hardin Oct 03 2011`
	STATUS	`approved`

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Last modified August 18 18:04 EDT 2017. Contains 290732 sequences.