A200437 - OEIS

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A200437

Number of -n..n arrays x(0..9) of 10 elements with zero sum and no two or three adjacent elements summing to zero

0, 23674, 1432402, 24220966, 210222830, 1206988576, 5230842688, 18491305412, 56022717236, 150412523630, 366439267062, 824236891962, 1734285496242, 3448292160196, 6530868950100, 11857838629608, 20748002017096 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`1,2`
	COMMENTS	`Row 7 of A200430`
	LINKS	`R. H. Hardin, Table of n, a(n) for n = 1..34`
	FORMULA	`Empirical: a(n) = (124952/567)n^9 - (282778/315)n^8 + (4520071/1890)n^7 - (849277/180)n^6 + (731309/108)n^5 - (629357/90)n^4 + (55560059/11340)n^3 - (870757/420)n^2 + (50299/126)*n`
	EXAMPLE	`Some solutions for n=3` `.-3...-3...-3...-3...-3...-3...-3...-3...-3...-3...-3...-3...-3...-3...-3...-3` `.-2...-2...-3...-3...-2...-2...-3...-2...-1...-3...-1...-1...-3...-2...-3...-2` `.-2....0....1....0....1...-3....2....0....0....1....2....0....1...-2....0...-2` `.-2...-2...-2....2....0....1....0....3...-1....1....1...-3....0....0....1....0` `..1...-3...-1....2....3...-2....1....0...-1....1....3....0....1....3...-3...-1` `..2....1....0....2....0....3....1...-2....0....1...-2...-1....3....1...-2...-3` `..1....3....2...-3...-2....3....3....1....3...-3....3....2...-2....2....3....2` `..3....3....3....2....1...-1...-2....2....1....1....1....1....0....2....3....3` `..0....1....3....2....0....3....0...-1....2....3...-2....2....1....2....3....3` `..2....2....0...-1....2....1....1....2....0....1...-2....3....2...-3....1....3`
	CROSSREFS	`Sequence in context: A177827 A069334 A118061 * A223342 A179918 A168169` `Adjacent sequences: A200434 A200435 A200436 * A200438 A200439 A200440`
	KEYWORD	`nonn`
	AUTHOR	`R. H. Hardin Nov 17 2011`
	STATUS	`approved`

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Last modified May 25 12:15 EDT 2013. Contains 225647 sequences.