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 A123262 Fibonacci-tribonacci triangle. 0
 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 3, 0, 0, 0, 0, 2, 5, 0, 0, 0, 0, 0, 5, 8, 0, 0, 0, 0, 0, 1, 10, 13, 0, 0, 0, 0, 0, 0, 3, 20, 21, 0, 0, 0, 0, 0, 0, 0, 9, 38, 34, 0, 0, 0, 0, 0, 0, 0, 1, 22, 71, 55, 0, 0, 0, 0, 0, 0, 0, 0, 4, 51, 130, 89, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 111, 235, 144 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,10 COMMENTS Or, skew Jacobsthal-Lucas triangle, read by rows. LINKS Table of n, a(n) for n=0..90. FORMULA T(n,k)=T(n-1,k-1)+T(n-2,k-2)+T(n-3,k-2), T(n,0)=0, T(1,1)=1, T(n,k)=0 if k<0 or if k>n . T(n,n)= Fibonacci(n)=A000045(n) . Sum_{k, 0<=k<=n}T(n,k)=A000073(n+1), tribonacci numbers . Sum_{n, n>=k}T(n,k)=A001045(k), Jacobsthal sequence. EXAMPLE Triangle begins: .0; .0, 1; .0, 0, 1; .0, 0, 0, 2; .0, 0, 0, 1, 3; .0, 0, 0, 0, 2, 5; .0, 0, 0, 0, 0, 5, 8; .0, 0, 0, 0, 0, 1, 10, 13; .0, 0, 0, 0, 0, 0, 3, 20, 21; .0, 0, 0, 0, 0, 0, 0, 9, 38, 34; .0, 0, 0, 0, 0, 0, 0, 1, 22, 71, 55; .0, 0, 0, 0, 0, 0, 0, 0, 4, 51, 130, 89; .0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 111, 235, 144; CROSSREFS Cf. A037027. Sequence in context: A296167 A244233 A227345 * A191906 A371647 A187080 Adjacent sequences: A123259 A123260 A123261 * A123263 A123264 A123265 KEYWORD nonn,tabl AUTHOR Philippe Deléham, Nov 06 2006 STATUS approved

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Last modified August 6 01:35 EDT 2024. Contains 374957 sequences. (Running on oeis4.)