id:A014314 - OEIS Search Results

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Number of East steps in all paths on square lattice lying between x=0 and x=y of length n starting at (0,0).

+0
1

0, 1, 3, 7, 17, 36, 82, 169, 373, 760, 1646, 3334, 7130, 14392, 30500, 61429, 129293, 260016, 544342, 1093546, 2279470, 4575736, 9504188, 19067162, 39486402, 79180816, 163561932, 327866764, 675791828 (list; graph; listen)

	OFFSET	`0,3`
	MAPLE	`c := z->(1-sqrt(1-4z))/(2z); M := c(tz^2)/(1-tzc(tz^2)); dMdt1 := simplify(subs(t=1, diff(M, t))); dMdt1ser := series(%, z=0, 44);`
	CROSSREFS	`Sequence in context: A034482 A114100 A014395 this_sequence A089099 A089116 A065545` `Adjacent sequences: A014311 A014312 A014313 this_sequence A014315 A014316 A014317`
	KEYWORD	`nonn`
	AUTHOR	`Emeric Deutsch (deutsch(AT)duke.poly.edu)`

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Last modified July 19 08:04 EDT 2008. Contains 142098 sequences.

AT&T Labs Research