login
A157684
a(n)=#{1<=k<=n : [K(k),K(k+1)]=[1,2]} where K=A000002
4
1, 1, 1, 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 9, 9, 9, 10, 10, 10, 11, 11, 12, 12, 12, 13, 13, 13, 13, 14, 14, 15, 15, 15, 16, 16, 16, 17, 17, 17, 18, 18, 18, 19, 19, 19, 19, 20, 20, 21, 21, 21, 22, 22, 22, 22, 23, 23, 23, 24, 24, 25, 25, 25, 26, 26, 26, 27
OFFSET
1,5
COMMENTS
Presumably a(n)=n/3+o(n)
FORMULA
a(n)=sum(k=1,n,(K(k+1)-1)*(K(k+1)-K(k))) where K(k)=A000002(k).
PROG
(PARI) a(n)=sum(k=1, n, if(abs(A000002(k)-1)+abs(A000002(k+1)-2), 0, 1))
CROSSREFS
KEYWORD
nonn
AUTHOR
Benoit Cloitre, Mar 04 2009
STATUS
approved