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A054144 Triangular array T: put T(n,0)=n for all n >= 0 and all other T(n,k)=0; then put T(n,k)=Sum{T(i,j): 0<=j<=i-n+k, n-k<=i<=n}. 5

%I #11 Nov 16 2021 11:26:14

%S 0,1,1,2,3,7,3,5,14,36,4,7,21,60,164,5,9,28,84,246,700,6,11,35,108,

%T 328,980,2868,7,13,42,132,410,1260,3824,11424,8,15,49,156,492,1540,

%U 4780,14688,44576,9,17,56,180,574,1820,5736,17952,55720,171216

%N Triangular array T: put T(n,0)=n for all n >= 0 and all other T(n,k)=0; then put T(n,k)=Sum{T(i,j): 0<=j<=i-n+k, n-k<=i<=n}.

%C The main diagonal is A181292. The triangle below the main diagonal is A053199 which starts with T(n,0) = n + 1 instead of T(n,0) = n here. - _Georg Fischer_, Nov 16 2021

%e Rows: {0}, {1,1}, {2,3,7}, {3,5,14,36}, ...

%Y Cf. A053199, A181292.

%K nonn,tabl

%O 0,4

%A _Clark Kimberling_, Mar 18 2000

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Last modified April 25 05:18 EDT 2024. Contains 371964 sequences. (Running on oeis4.)