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 A106509 Riordan array ((1+x)/(1+x+x^2),x/(1+x)) read by rows. 3
 1, 0, 1, -1, -1, 1, 1, 0, -2, 1, 0, 1, 2, -3, 1, -1, -1, -1, 5, -4, 1, 1, 0, 0, -6, 9, -5, 1, 0, 1, 0, 6, -15, 14, -6, 1, -1, -1, 1, -6, 21, -29, 20, -7, 1, 1, 0, -2, 7, -27, 50, -49, 27, -8, 1, 0, 1, 2, -9, 34, -77, 99, -76, 35, -9, 1, -1, -1, -1, 11, -43, 111, -176, 175, -111, 44, -10, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,9 COMMENTS Row sums are A106510. Diagonal sums are A106511. Inverse of A072405 (when this starts 1,0,1,...). LINKS FORMULA Number triangle T(n, k)=sum{j=0..n-k, (-1)^j*binomial(2n-k-j, j)} T(n,k) = T(n-1,k-1)-2*T(n-1,k)+T(n-2,k-1)-2*T(n-2,k)+T(n-3,k-1)-T(n-3,k), T(0,0)=T(1,1)=T(2,2)=1, T(1,0)=0, T(2,1)=T(2,0)=-1, T(n,k)=0 if k<0 or if k>n. - Philippe Deléham, Jan 12 2014 EXAMPLE Triangle begins 1; 0,1; -1,-1,1; 1,0,-2,1; 0,1,2,-3,1; -1,-1,-1,5,-4,1; MATHEMATICA (* The function RiordanArray is defined in A256893. *) RiordanArray[(1 + #)/(1 + # + #^2)&, #/(1 + #)&, 12] // Flatten (* Jean-François Alcover, Jul 19 2019 *) CROSSREFS Cf. A072405, A106510, A106511. Sequence in context: A119339 A037835 A116433 * A324692 A228110 A255175 Adjacent sequences:  A106506 A106507 A106508 * A106510 A106511 A106512 KEYWORD easy,sign,tabl AUTHOR Paul Barry, May 04 2005 STATUS approved

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Last modified October 18 10:59 EDT 2019. Contains 328147 sequences. (Running on oeis4.)