A211841 - OEIS

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A211841

Number of nonnegative integer arrays of length n+8 with new values 0 upwards introduced in order, no three adjacent elements equal, and containing the value n+1

16479, 86295, 426022, 1874580, 7251376, 24849643, 76514893, 214762865, 556551660, 1346075734, 3065835607, 6624907961, 13666568938, 27055113275, 51624909857, 95304639221, 170767632249, 297806806741, 506691598400 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`1,1`
	COMMENTS	`Row 7 of A211836`
	LINKS	`R. H. Hardin, Table of n, a(n) for n = 1..210`
	FORMULA	`Empirical: a(n) = (1/46080)n^12 + (5/4608)n^11 + (1133/46080)n^10 + (69091/207360)n^9 + (139007/46080)n^8 + (9401159/483840)n^7 + (4294903/46080)n^6 + (23903551/69120)n^5 + (3910501/3840)n^4 + (123369071/51840)n^3 + (677503/160)n^2 + (6491021/1260)n + 3233`
	EXAMPLE	`Some solutions for n=3` `..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0` `..0....0....0....0....1....1....0....0....0....0....1....0....1....1....0....0` `..1....1....1....1....0....0....1....1....1....1....0....1....0....0....1....1` `..2....2....0....2....2....0....2....2....2....2....2....0....0....2....1....2` `..3....3....0....0....0....2....3....2....0....1....3....0....2....3....0....3` `..0....4....2....3....3....0....1....3....1....3....0....2....3....3....2....1` `..4....1....3....1....3....0....0....0....3....4....4....0....0....4....3....4` `..1....2....4....4....2....1....4....4....2....3....5....0....2....0....4....1` `..5....4....2....2....4....3....4....0....4....3....0....1....4....0....3....2` `..4....5....0....0....5....4....0....5....0....2....2....3....1....3....3....4` `..4....0....0....3....2....3....4....5....1....4....2....4....4....1....0....3`
	CROSSREFS	`Sequence in context: A057680 A157796 A186848 * A234054 A234055 A234047` `Adjacent sequences: A211838 A211839 A211840 * A211842 A211843 A211844`
	KEYWORD	`nonn`
	AUTHOR	`R. H. Hardin Apr 21 2012`
	STATUS	`approved`

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Last modified May 21 08:43 EDT 2022. Contains 353907 sequences. (Running on oeis4.)