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 A199324 Triangle T(n,k), read by rows, given by (-1,1,-1,0,0,0,0,0,0,0,...) DELTA (1,0,0,0,0,0,0,0,0,0,...) where DELTA is the operator defined in A084938. 3
 1, -1, 1, 0, -1, 1, 1, -1, -1, 1, -1, 3, -2, -1, 1, 0, -2, 5, -3, -1, 1, 1, -2, -2, 7, -4, -1, 1, -1, 5, -7, -1, 9, -5, -1, 1, 0, -3, 12, -15, 1, 11, -6, -1, 1, 1, -3, -3, 21, -26, 4, 13, -7, -1, 1, -1, 7, -15, 3, 31, -40, 8, 15, -8, -1, 1, 0, -4, 22, -42 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,12 LINKS FORMULA T(n,k)=T(n-1,k-1)+T(n-2,k-1)-T(n-1,k)-T(n-2,k), T(0,0)=1. G.f.: 1/(1-(y-1)*x-(y-1)*x^2). Sum_{k, 0<=k<=n}T(n,k)*x^k = A000748(n), A108520(n), A049347(n), A000007(n), A000045(n+1), A002605(n+1), A030195(n+1), A057087(n), A057088(n), A057089(n), A057090(n), A057091(n), A057092(n), A057093(n) for x = -2,-1,0,1,2,3,4,5,6,7,8,9,10,11 respectively. EXAMPLE Triangle begins : 1 -1, 1 0, -1, 1 1, -1, -1, 1 -1, 3, -2, -1, 1 0, -2, 5, -3, -1, 1 1, -2, -2, 7, -4, -1, 1 -1, 5, -7, -1, 9, -5, -1, 1 CROSSREFS Cf. A026729, A063967, A129267, A176971 (diagonals sums). Sequence in context: A090046 A202551 A129267 * A287576 A035103 A155033 Adjacent sequences:  A199321 A199322 A199323 * A199325 A199326 A199327 KEYWORD sign,tabl AUTHOR Philippe Deléham, Nov 12 2011 STATUS approved

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Last modified May 18 08:21 EDT 2021. Contains 343995 sequences. (Running on oeis4.)