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A059906 Index of second half of decomposition of integers into pairs based on A000695. +0
16
0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 3, 3, 2, 2, 3, 3, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 3, 3, 2, 2, 3, 3, 4, 4, 5, 5, 4, 4, 5, 5, 6, 6, 7, 7, 6, 6, 7, 7, 4, 4, 5, 5, 4, 4, 5, 5, 6, 6, 7, 7, 6, 6, 7, 7, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 3, 3, 2, 2, 3, 3, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 3, 3, 2, 2, 3, 3, 4, 4, 5, 5, 4, 4, 5, 5, 6 (list; graph; listen)
OFFSET

0,9

COMMENT

One coordinate of a recursive non-self intersecting walk on the square lattice Z^2.

FORMULA

n = A000695(A059905(n))+2*A000695(a(n))

To get a(n), write n as Sum b_j*2^j, then a(n)=Sum b_(2j+1)*2^j. [From Vladimir Shevelev (shevelev(AT)bgu.ac.il), Nov 13 2008]

EXAMPLE

A000695(A059905(14))+2*A000695(a(14)) = A000695(2)+2*A000695(3) = 4+2*5 = 14.

If n=27, then b_0=1, b_1=1, b_2=0, b_3=1, b_4=1. Therefore a(n)=b_1+b_3*2=3. [From Vladimir Shevelev (shevelev(AT)bgu.ac.il), Nov 13 2008]

CROSSREFS

A000695, A059905.

Sequence in context: A071820 A055092 A130326 this_sequence A112046 A076902 A049113

Adjacent sequences: A059903 A059904 A059905 this_sequence A059907 A059908 A059909

KEYWORD

easy,nonn

AUTHOR

Marc LeBrun (mlb(AT)well.com), Feb 07 2001

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Last modified December 2 11:54 EST 2009. Contains 167921 sequences.


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