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 A196389 Triangle T(n,k), read by rows, given by (0,1,-1,0,0,0,0,0,0,0,...) DELTA (1,0,0,1,0,0,0,0,0,0,0,...) where DELTA is the operator defined in A084938. 2
 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 3, 1, 0, 0, 0, 0, 4, 1, 0, 0, 0, 0, 0, 5, 1, 0, 0, 0, 0, 0, 0, 6, 1, 0, 0, 0, 0, 0, 0, 0, 7, 1, 0, 0, 0, 0, 0, 0, 0, 0, 8, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,9 COMMENTS Row sums are A028310; diagonal sums are A057979; column sums are A000027. LINKS FORMULA T(n,n)=1, T(n+1,n)=n. G.f.: (1-x*y+x^2*y)/(1-x*y)^2. - From Philippe Deléham, Oct 31 2011. Sum_{0<=k<=n} T(n,k)*x^k = A000007(n), A028310(n), A057711(n+1), A064017(n+1) for x = 0, 1, 2, 3 respectively.- From Philippe Deléham, Oct 31 2011 EXAMPLE Triangle begins : 1 0, 1 0, 1, 1 0, 0, 2, 1 0, 0, 0, 3, 1 0, 0, 0, 0, 4, 1 0, 0, 0, 0, 0, 5, 1 0, 0, 0, 0, 0, 0, 6, 1 0, 0, 0, 0, 0, 0, 0, 7, 1 0, 0, 0, 0, 0, 0, 0, 0, 8, 1 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 1... CROSSREFS Cf. A084938. Sequence in context: A177517 A227819 A064287 * A128206 A103294 A198379 Adjacent sequences:  A196386 A196387 A196388 * A196390 A196391 A196392 KEYWORD nonn,tabl,easy AUTHOR Philippe Deléham, Oct 28 2011 STATUS approved

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Last modified June 25 12:55 EDT 2019. Contains 324352 sequences. (Running on oeis4.)