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A135966
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Triangle, read by rows, where T(n,k) = fibonacci(k(n-k) + 1) for n>=k>=0.
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1
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1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 3, 5, 3, 1, 1, 5, 13, 13, 5, 1, 1, 8, 34, 55, 34, 8, 1, 1, 13, 89, 233, 233, 89, 13, 1, 1, 21, 233, 987, 1597, 987, 233, 21, 1, 1, 34, 610, 4181, 10946, 10946, 4181, 610, 34, 1, 1, 55, 1597, 17711, 75025, 121393, 75025, 17711, 1597, 55, 1
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table;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,8
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LINKS
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EXAMPLE
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Triangle begins:
1;
1, 1;
1, 1, 1;
1, 2, 2, 1;
1, 3, 5, 3, 1;
1, 5, 13, 13, 5, 1;
1, 8, 34, 55, 34, 8, 1;
1, 13, 89, 233, 233, 89, 13, 1;
1, 21, 233, 987, 1597, 987, 233, 21, 1;
1, 34, 610, 4181, 10946, 10946, 4181, 610, 34, 1;
1, 55, 1597, 17711, 75025, 121393, 75025, 17711, 1597, 55, 1; ...
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MATHEMATICA
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Flatten[Table[Fibonacci[k(n-k)+1], {n, 0, 10}, {k, 0, n}]] (* Harvey P. Dale, Feb 03 2015 *)
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PROG
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(PARI) T(n, k)=fibonacci(k*(n-k)+1)
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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