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 A155839 A ratio of two Catalan arrays. 1
 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 3, 0, 1, 0, 4, 7, 6, 0, 1, 0, 8, 18, 16, 10, 0, 1, 0, 16, 45, 51, 30, 15, 0, 1, 0, 32, 110, 152, 115, 50, 21, 0, 1, 0, 64, 264, 436, 396, 225, 77, 28, 0, 1, 0, 128, 624, 1212, 1300, 876, 399, 112, 36, 0, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,12 COMMENTS Triangle A033184^{-1}*A124644, Row sums are A120010. LINKS FORMULA T(n,k)=sum{j=0..n, (-1)^(n-j)*C(j+1,n-j)*C(j,k)*if(k<=j, A000108(j-k),0)}. EXAMPLE Triangle begins 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 3, 0, 1, 0, 4, 7, 6, 0, 1, 0, 8, 18, 16, 10, 0, 1, 0, 16, 45, 51, 30, 15, 0, 1, 0, 32, 110, 152, 115, 50, 21, 0, 1 CROSSREFS Sequence in context: A259748 A298159 A123735 * A229615 A135814 A038570 Adjacent sequences:  A155836 A155837 A155838 * A155840 A155841 A155842 KEYWORD easy,nonn,tabl AUTHOR Paul Barry, Jan 28 2009 STATUS approved

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Last modified December 6 19:31 EST 2019. Contains 329809 sequences. (Running on oeis4.)