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A059897
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Square array read by antidiagonals: T(i,j) = product prime[k]^(Ei[k] XOR Ej[k]) where Ei and Ej are the vectors of exponents in the prime factorizations of i and j; XOR is the bitwise operation on binary representation of the exponents.
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2
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1, 2, 2, 3, 1, 3, 4, 6, 6, 4, 5, 8, 1, 8, 5, 6, 10, 12, 12, 10, 6, 7, 3, 15, 1, 15, 3, 7, 8, 14, 2, 20, 20, 2, 14, 8, 9, 4, 21, 24, 1, 24, 21, 4, 9, 10, 18, 24, 28, 30, 30, 28, 24, 18, 10, 11, 5, 27, 2, 35, 1, 35, 2, 27, 5, 11, 12, 22, 30, 36, 40, 42, 42, 40, 36, 30, 22, 12, 13, 24, 33
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| Analogous to multiplication, with XOR replacing +.
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EXAMPLE
| T(864,1944)=T(2^5*3^3,2^3*3^5)=2^(5 XOR 3)* 3^(3 XOR 5)=2^6*3^6=46656.
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CROSSREFS
| Cf. A003987, A003991, A059895, A059896.
Sequence in context: A191384 A191305 A089913 * A071450 A072078 A078378
Adjacent sequences: A059894 A059895 A059896 * A059898 A059899 A059900
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KEYWORD
| base,easy,nonn,tabl
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AUTHOR
| Marc LeBrun (mlb(AT)well.com), Feb 06 2001
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