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A111956
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Triangle read by rows: T(n,k) = gcd(Lucas(n), Lucas(k)), 1 <= k <= n.
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9
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1, 1, 3, 1, 1, 4, 1, 1, 1, 7, 1, 1, 1, 1, 11, 1, 3, 2, 1, 1, 18, 1, 1, 1, 1, 1, 1, 29, 1, 1, 1, 1, 1, 1, 1, 47, 1, 1, 4, 1, 1, 2, 1, 1, 76, 1, 3, 1, 1, 1, 3, 1, 1, 1, 123, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 199, 1, 1, 2, 7, 1, 2, 1, 1, 2, 1, 1, 322, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 521
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OFFSET
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1,3
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LINKS
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FORMULA
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T(n, k) = Lucas(g), where g = gcd(n, k), if n/g and k/g are odd; = 2 if n/g or k/g are even and 3|g; = 1 otherwise.
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MATHEMATICA
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Flatten[Table[GCD[LucasL[n], LucasL[k]], {n, 20}, {k, n}]] (* Harvey P. Dale, Nov 23 2012 *)
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PROG
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(PARI) for(n=1, 10, for(k=1, n, print1(gcd(fibonacci(n+1) + fibonacci(n-1), fibonacci(k+1) + fibonacci(k-1)), ", "))) \\ G. C. Greubel, Dec 17 2017
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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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