A141169 - OEIS

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A141169

Triangle of Fibonacci numbers, read by rows: T(n,k) = A000045(k), 0<=k<=n.

0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 5, 0, 1, 1, 2, 3, 5, 8, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 21, 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 0, 1, 1, 2, 3, 5, 8, 13, 21

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OFFSET

0,10

COMMENTS

T(n,0) = A000004(n); T(n,n) = A000045(n);

central terms: T(2*n,n) = A000045(n);

sums of rows: Sum(T(n,k): 0<=k<=n) = A000071(n+2);

alternating sums of rows: Sum(T(n,k)*(-1)^k: 0<=k<=n) = A119282(n);

T(n,k) + T(n,n-k) = A094570(n,k).

LINKS

Reinhard Zumkeller, Rows n=0..125 of triangle, flattened

PROG