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Search: id:A130749
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| 1, 1, 1, 1, 3, 1, 1, 7, 6, 1, 1, 15, 24, 10, 1, 1, 31, 80, 60, 15, 1, 1, 63, 240, 280, 125, 21, 1, 1, 127, 672, 1120, 770, 231, 28, 1, 1, 255, 1792, 4032, 3920, 1806, 392, 36, 1, 1, 511, 4608, 13440, 17472, 11340, 3780, 624, 45, 1
(list; table; graph; listen)
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OFFSET
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0,5
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LINKS
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Sherry H. F. Yan, Schroeder Paths and Pattern Avoiding Partitions, arXiv:0805.2465 [math.CO] Corollary 3.6.
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FORMULA
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Sum_{k, 0<=k<=n}T(n,k)=A007317(n+1).
G.f.: 1/(1-x-xy/(1-x/(1-x-xy/(1-x/(1-x-xy/(1-x.... (continued fraction); [From Paul Barry (pbarry(AT)wit.ie), Jan 12 2009]
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EXAMPLE
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Triangle begins:
1;
1, 1;
1, 3, 1;
1, 7, 6, 1;
1, 15, 24, 10, 1;
1, 31, 80, 60, 15, 1;
1, 63, 240, 280, 125, 21, 1;
1, 127, 672, 1120, 770, 231, 28, 1;
1, 255, 1792, 4032, 3920, 1806, 392, 36, 1;
1, 511, 4608, 13440, 17472, 11340, 3780, 624, 45, 1 ;...
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CROSSREFS
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Cf. A000012, A000225, A001788, A003472 ; A000012, A000217, A014205.
Sequence in context: A094507 A065625 A154341 this_sequence A154959 A008277 A080417
Adjacent sequences: A130746 A130747 A130748 this_sequence A130750 A130751 A130752
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KEYWORD
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nonn,tabl
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AUTHOR
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Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Jul 13 2007
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