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 A188316 Riordan array (1/(1-x^2), x/((1-x)*(1-x^2))). 5
 1, 0, 1, 1, 1, 1, 0, 3, 2, 1, 1, 3, 6, 3, 1, 0, 6, 10, 10, 4, 1, 1, 6, 20, 22, 15, 5, 1, 0, 10, 30, 49, 40, 21, 6, 1, 1, 10, 50, 91, 100, 65, 28, 7, 1, 0, 15, 70, 168, 216, 181, 98, 36, 8, 1, 1, 15, 105, 280, 444, 441, 301, 140, 45, 9, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,8 COMMENTS Row sums are A077998. Diagonal sums are A052547. Inverse is A188317. LINKS Table of n, a(n) for n=0..65. FORMULA T(n,k) = T(n-1,k) + T(n-1,k-1) + T(n-2,k) - T(n-3,k), T(0,0) = T(1,1) = T(2,0) = T(2,1) = T(2,2)=1, T(1,0)=0, T(n,k)=0 if k<0 or if k>n. - Philippe Deléham, Jan 16 2014 EXAMPLE Triangle begins 1, 0, 1, 1, 1, 1, 0, 3, 2, 1, 1, 3, 6, 3, 1, 0, 6, 10, 10, 4, 1, 1, 6, 20, 22, 15, 5, 1, 0, 10, 30, 49, 40, 21, 6, 1, 1, 10, 50, 91, 100, 65, 28, 7, 1, 0, 15, 70, 168, 216, 181, 98, 36, 8, 1 CROSSREFS Sequence in context: A321620 A353157 A134520 * A197027 A143772 A373366 Adjacent sequences: A188313 A188314 A188315 * A188317 A188318 A188319 KEYWORD nonn,tabl AUTHOR Paul Barry, Mar 28 2011 STATUS approved

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Last modified June 17 12:36 EDT 2024. Contains 373445 sequences. (Running on oeis4.)