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A046143
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Triangle of GCD( 2^p-1, 2^q-1 ) = 2^GCD(p,q) - 1.
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0
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1, 1, 3, 1, 1, 7, 1, 3, 1, 15, 1, 1, 1, 1, 31, 1, 3, 7, 3, 1, 63, 1, 1, 1, 1, 1, 1, 127, 1, 3, 1, 15, 1, 3, 1, 255, 1, 1, 7, 1, 1, 7, 1, 1, 511, 1, 3, 1, 3, 31, 3, 1, 3, 1, 1023, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2047, 1, 3, 7, 15, 1, 63, 1, 15, 7, 3, 1, 4095, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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COMMENTS
| The function T(n,k) = T(k,n) is defined for k>n but only the values for 1<=k<=n as a triangular array are listed here.
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LINKS
| Eric Weisstein's World of Mathematics, More information
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EXAMPLE
| Triangle begins
{1},
{1,3},
{1,1,7},
{1,3,1,15},
{1,1,1,1,31},
{1,3,7,3,1,63},
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MATHEMATICA
| T[ n_, k_] := If[ n < 1 || k < 1, 0, 2^GCD[ n, k] - 1] (* Michael Somos Jul 18 2011 *)
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PROG
| {T(n, k) = if( n<1 || k<1, 0, 2^gcd(n, k) - 1)} /* Michael Somos Jul 18 2011 */
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CROSSREFS
| Sequence in context: A102479 A053193 A010273 * A071812 A116407 A135288
Adjacent sequences: A046140 A046141 A046142 * A046144 A046145 A046146
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KEYWORD
| nonn,tabl
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AUTHOR
| Eric Weisstein (eric(AT)weisstein.com)
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