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Search: id:A059897
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A059897 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. +0
3
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; listen)
OFFSET

1,2

COMMENT

Analogous to multiplication, with XOR replacing +.

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.

CROSSREFS

Cf. A003987, A003991, A059895, A059896.

Sequence in context: A072030 A080045 A089913 this_sequence A071450 A072078 A078378

Adjacent sequences: A059894 A059895 A059896 this_sequence A059898 A059899 A059900

KEYWORD

base,easy,nonn,tabl

AUTHOR

Marc LeBrun (mlb(AT)well.com), Feb 06 2001

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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