A268584 - OEIS

A268584

a(0)=0; a(1)=0. For m>=1 : a(2*m) = 2*m-2-i, a(2*m+1) = 2*m-2-i, where i (0<=i<=n-2) is the smallest number such that a(2*m-2)-a(i)=0 AND a(2*m-1)-a(i+1)=0, or a(2*m)=0 AND a(2*m+1)=0 if no such i exists.

0, 0, 0, 0, 2, 2, 0, 0, 4, 4, 0, 0, 4, 4, 4, 4, 2, 2, 12, 12, 0, 0, 10, 10, 0, 0, 4, 4, 12, 12, 10, 10, 8, 8, 0, 0, 10, 10, 6, 6, 0, 0, 6, 6, 4, 4, 18, 18, 0, 0, 8, 8, 18, 18, 6, 6, 12, 12, 28, 28, 0, 0, 12, 12, 6, 6, 10, 10, 30, 30, 0, 0, 10, 10, 6, 6, 10, 10, 4, 4, 34, 34, 0, 0, 12, 12, 22, 22, 0, 0, 6, 6, 16, 16, 0, 0, 6, 6, 6, 6, 2, 2, 84, 84, 0, 0

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OFFSET

0,5

COMMENTS

This sequence is a transformation of A181391. A181391(n)=(A268584(2*n-1)+A268584(2*n)) / 4.

LINKS

Table of n, a(n) for n=0..105.

EXAMPLE

a(0)=0 ; a(1)=0.

a(2)=0 ; a(3)=0. By definition, because no such i exists.

a(4)=(2-0)=2 ; a(5)=(3-1)=2.

a(6)=0 ; a(7)=0. By definition, because no such i exists.