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%I #21 Apr 07 2023 18:30:12
%S 0,1,1,1,2,3,2,3,5,8,3,5,8,13,21,5,8,13,21,34,55,8,13,21,34,55,89,144,
%T 13,21,34,55,89,144,233,377,21,34,55,89,144,233,377,610,987,34,55,89,
%U 144,233,377,610,987,1597,2584
%N Triangle T(n,k) = Fibonacci(n+k), related to A000045 (Fibonacci numbers).
%F T(n,0) = Fibonacci(n) = A000045(n),
%F T(n,n) = Fibonacci(2n) = A001906(n),
%F T(2n,n) = Fibonacci(3n) = A014445(n).
%F T(n,k) = T(n,k-1) + T(n-1,k-1) = T(n-1,k-1) + T(n-1,k).
%e Triangle begins :
%e 0;
%e 1, 1;
%e 1, 2, 3;
%e 2, 3, 5, 8;
%e 3, 5, 8, 13, 21;
%e 5, 8, 13, 21, 34, 55;
%e 8, 13, 21, 34, 55, 89, 144;
%e 13, 21, 34, 55, 89, 144, 233, 377;
%e ...
%Y Cf. A000045, A001906, A014445.
%Y Row sums give A362067.
%K easy,nonn,tabl
%O 0,5
%A _Philippe Deléham_, Nov 07 2011
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