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A046143 Triangle of GCD( 2^p-1, 2^q-1 ) = 2^GCD(p,q) - 1. 0
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)
OFFSET

1,3

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.

LINKS

Eric Weisstein's World of Mathematics, More information

EXAMPLE

Triangle begins

{1},

{1,3},

{1,1,7},

{1,3,1,15},

{1,1,1,1,31},

{1,3,7,3,1,63},

MATHEMATICA

T[ n_, k_] := If[ n < 1 || k < 1, 0, 2^GCD[ n, k] - 1] (* Michael Somos Jul 18 2011 *)

PROG

{T(n, k) = if( n<1 || k<1, 0, 2^gcd(n, k) - 1)} /* Michael Somos Jul 18 2011 */

CROSSREFS

Sequence in context: A102479 A053193 A010273 * A071812 A116407 A135288

Adjacent sequences:  A046140 A046141 A046142 * A046144 A046145 A046146

KEYWORD

nonn,tabl

AUTHOR

Eric Weisstein (eric(AT)weisstein.com)

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Last modified February 16 11:47 EST 2012. Contains 205907 sequences.