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 A177896 A binomial conjugate of the Narayana numbers 0
 1, 1, 1, 2, 3, 1, 4, 9, 6, 1, 9, 26, 26, 10, 1, 21, 75, 100, 60, 15, 1, 51, 216, 360, 295, 120, 21, 1, 127, 623, 1246, 1295, 735, 217, 28, 1, 323, 1800, 4200, 5292, 3864, 1624, 364, 36, 1, 835, 5211, 13896, 20580, 18396, 10080, 3276, 576, 45, 1, 2188, 15115, 45345, 77190, 81690, 55314, 23730, 6150, 870, 55, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 COMMENTS Equals P^{-1}*N*P where P is A007318 and N is A001263. First column is Motzkin numbers A001006. Row sums are A071356. Diagonal sums are A078481. LINKS FORMULA G.f.: ( 1-x(1+y)-sqrt(1-2x(1+y)+x^2(1+y)(y-3)) )/(2x^2(1+y)); G.f.: 1/(1-x-xy-x^2(1+y)/(1-x-xy-x^2(1+y)/(1-... (continued fraction). EXAMPLE Triangle begins 1, 1, 1, 2, 3, 1, 4, 9, 6, 1, 9, 26, 26, 10, 1, 21, 75, 100, 60, 15, 1, 51, 216, 360, 295, 120, 21, 1, 127, 623, 1246, 1295, 735, 217, 28, 1, 323, 1800, 4200, 5292, 3864, 1624, 364, 36, 1 CROSSREFS Sequence in context: A231206 A165241 A119865 * A193920 A076732 A130152 Adjacent sequences:  A177893 A177894 A177895 * A177897 A177898 A177899 KEYWORD nonn,tabl AUTHOR Paul Barry, Dec 15 2010 STATUS approved

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Last modified October 13 20:38 EDT 2019. Contains 327981 sequences. (Running on oeis4.)