1,3

A141326 is a simply generated subsequence of A050791 and by observation it forms a natural measure of the parent sequence. The first several hundred terms of the parent sequence not belonging to A141326 are bracketed into groups with a small integral number of terms ( including 0 ) by the successive terms of the subsequence, A141326.

a(107),a(108) are the first occurrence of 2 consecutive 0's and a(119),a(120),a(121) are the first occurrence of 3 consecutive 0's. This leads to the following conjecture:

<a(n)> -> 0 as n ->inf

where <a(n)> = ( sum m=1,n of a(m) )/n

Lewis Mammel, Table of n, a(n) for n = 1..122

a(1) = A145383(1) - 1

a(n) = A145383(n) - A145383(n-1) - 1 ; n>1

0 = number of terms of A050791 preceding the 1st term of A141326

1 = number of terms of A050791 between the 1st and 2nd terms of A141326

2 = number of terms of A050791 between the 2nd and 3rd terms of A141326

Cf. A145383, A141326, A050791

Sequence in context: A023397 A066102 A036048 this_sequence A117666 A165587 A010693

Adjacent sequences: A145381 A145382 A145383 this_sequence A145385 A145386 A145387

nonn

Lewis Mammel (l_mammel(AT)att.net), Oct 10 2008