id:A125778 - OEIS Search Results

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Array T by diagonals: T(h,k)=number of paths consisting of steps from (0,0) to (h,k) such that each step has length 1 directed up or right, and no right-step crosses the line y=3x/2. (Thus a path crosses the line only at lattice points and on up-steps.).

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1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 3, 2, 3, 1, 1, 4, 5, 5, 4, 1, 1, 5, 9, 10, 9, 5, 1, 1, 6, 14, 10, 19, 14, 6, 1, 1, 7, 20, 24, 29, 33, 20, 7, 1, 1, 8, 27, 44, 29, 62, 53, 27, 8, 1, 1, 9, 35, 71, 73, 91, 115, 80, 35, 9, 1, 1, 10, 44, 106, 144, 164, 206, 195, 115, 44, 10, 1, 1, 11, 54, 150 (list; table; graph; listen)

	OFFSET	`0,8`
	COMMENT	`T = transpose of A047110.`
	EXAMPLE	`Northwest corner:` `1 1 1 1 1 1` `1 1 2 3 4 5` `1 2 2 5 9 14` `1 3 5 10 10 24` `1 4 9 19 29 29`
	CROSSREFS	`Cf. A047110.` `Sequence in context: A075532 A050176 A047130 this_sequence A047110 A093869 A057431` `Adjacent sequences: A125775 A125776 A125777 this_sequence A125779 A125780 A125781`
	KEYWORD	`nonn,tabl`
	AUTHOR	`Clark Kimberling (ck6(AT)evansville.edu), Dec 08 2006`

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.

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