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 A122837 Triangle T(n,k), 0<=k<=n, defined by : T(n,k)=0 if k<0, T(n,k)=0 if k>n,T(0,0)=1, T(1,0)=1, T(1,1)=-1, T(n,k)=T(n-1,k-1)+T(n-1,k)+T(n-2,k). 0
 1, 1, -1, 2, 0, -1, 3, 1, -1, -1, 5, 4, -1, -2, -1, 8, 10, 2, -4, -3, -1, 13, 22, 11, -4, -8, -4, -1, 21, 45, 35, 3, -15, -13, -5, -1, 34, 88, 91, 34, -20, -32, -19, -6, -1, 55, 167, 214, 128, -1, -65, -56, -26, -7, -1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 LINKS FORMULA Sum{k,0<=k<=n}T(n,k)=A000129(n-1)for n>0 .T(n,0) = Fibonacci(n+1)=A000045(n+1). EXAMPLE Triangle begins: 1; 1, -1; 2, 0, -1; 3, 1, -1, -1; 5, 4, -1, -2, -1; 8, 10, 2, -4, -3, -1; 13, 22, 11, -4, -8, -4, -1; CROSSREFS Sequence in context: A065432 A094184 A078805 * A143359 A291316 A130504 Adjacent sequences:  A122834 A122835 A122836 * A122838 A122839 A122840 KEYWORD sign,tabl AUTHOR Philippe Deléham, Oct 23 2006 STATUS approved

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Last modified September 25 16:17 EDT 2021. Contains 347658 sequences. (Running on oeis4.)