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 A114117 Inverse of 1's counting matrix A114116. 2
 1, 0, 1, -2, 1, 1, -1, -1, 1, 1, 0, -2, 0, 1, 1, 0, -1, -1, 0, 1, 1, 0, 0, -2, 0, 0, 1, 1, 0, 0, -1, -1, 0, 0, 1, 1, 0, 0, 0, -2, 0, 0, 0, 1, 1, 0, 0, 0, -1, -1, 0, 0, 0, 1, 1, 0, 0, 0, 0, -2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 COMMENTS Row sums are (1,1,0,0,0,.....) with g.f. 1+x. Diagonal sums have g.f. (1-x^2-x^3)/(1-x^3). Product of A114115 and the first difference matrix (1-x,x). LINKS FORMULA T(n, k)=sum{j=0..n, sum{i=0..n, C(floor((n+i)/2, j)C(j, floor((n+i)/2))}*(2*C(0, j-k)-C(1, j-k))}}. EXAMPLE Triangle begins 1; 0, 1; -2, 1, 1; -1,-1, 1, 1; 0,-2, 0, 1, 1; 0,-1,-1, 0, 1, 1; 0, 0,-2, 0, 0, 1, 1; 0, 0,-1,-1, 0, 0, 1, 1; CROSSREFS Sequence in context: A162781 A056975 A294079 * A144435 A182533 A173120 Adjacent sequences:  A114114 A114115 A114116 * A114118 A114119 A114120 KEYWORD easy,sign,tabl AUTHOR Paul Barry, Nov 13 2005 STATUS approved

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Last modified October 16 18:03 EDT 2019. Contains 328102 sequences. (Running on oeis4.)