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Bisection of Recamán's sequence A005132.
2

%I #52 Apr 11 2014 00:13:51

%S 1,6,7,20,21,22,23,24,25,62,63,18,17,16,15,14,79,78,77,78,79,80,81,82,

%T 83,84,85,86,87,88,89,90,91,224,225,226,227,228,75,74,73,72,71,70,69,

%U 68,67,66,65,64,265,264,263,262,261,40,265,494,495,258,259

%N Bisection of Recamán's sequence A005132.

%C Also length of the vertical edges of a rectangular polyspiral path. For the horizontal edges see A210604. The mentioned polyspiral path is one of the three views of a rectangular polyhelix which is a three-dimensional graphical representation of Recamán's sequence A005132.

%H <a href="/index/Rea#Recaman">Index entries for sequences related to Recamán's sequence</a>

%e 1) Written as an irregular array in which each row lists consecutive numbers in ascending order or in descending order:

%e 1;

%e 6,7;

%e 20,21,22,23,24,25;

%e 62,63;

%e 18,17,16,15,14;

%e 79,78,77;

%e 78,79,80,81,82,83,84,85,86,87,88,89,90,91;

%e ...

%e 2) Written as an irregular array in which each row lists consecutive numbers in ascending order, in descending order or in descending-ascending order:

%e 1;

%e 6,7;

%e 20,21,22,23,24,25;

%e 62,63;

%e 18,17,16,15,14;

%e 79,78,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91;

%e ...

%Y Cf. A005132, A065056, A171175, A171178, A210604-A210607.

%K nonn,tabf

%O 1,2

%A _Omar E. Pol_, Mar 23 2012