cp's OEIS Frontend

A234398 Distribution of the natural numbers using the sequences family mentioned in the comments.

%I A234398 #8 Feb 02 2014 01:21:10
%S A234398 1,2,2,1,2,2,2,3,2,4,2,5,2,6,2,6,1,2,6,2,2,6,3,2,6,4,2,6,5,2,6,6,2,6,
%T A234398 7,2,6,8,2,6,9,2,6,10,2,6,10,1,2,6,10,2,2,6,10,3,2,6,10,4,2,6,10,5,2,
%U A234398 6,10,6,2,6,10,7
%N A234398 Distribution of the natural numbers using the sequences family mentioned in the comments.
%C A234398 Based on A016825=2,6,10,..., the family is
%C A234398 N16(1)=1, followed by 2's                  =A040000,
%C A234398 N16(2)=1,2,3,4,5, followed by 6's          =A101272,
%C A234398 N16(3)=1,2,3,4,5,6,7,8,9, followed by 10's, not in the OEIS,
%C A234398 N16(4)=1,2,3,4,5,6,7,8,9,10,11,12,13, followed by 14's, idem.
%C A234398 The N16(n) gives the successive columns beginning at row 1, 3, 9, 19, ... =A058331.
%C A234398 Sum of every row: n =A000027.
%C A234398 Note that with only N16(1),
%C A234398 1,
%C A234398 2,
%C A234398 2, 1,
%C A234398 2, 2,
%C A234398 2, 2, 1,
%C A234398 2, 2, 2,
%C A234398 2, 2, 2, 1,
%C A234398 2, 2, 2, 2,
%C A234398 2, 2, 2, 2, 1, etc
%C A234398 is A169695(n+1).
%C A234398 A169695(n) corresponds to A028310.
%e A234398 1,
%e A234398 2,
%e A234398 2, 1,
%e A234398 2, 2,
%e A234398 2, 3,
%e A234398 2, 4,
%e A234398 2, 5,
%e A234398 2, 6,
%e A234398 2, 6, 1,
%e A234398 2, 6, 2,
%e A234398 2, 6, 3,
%e A234398 2, 6, 4, etc.
%Y A234398 Cf. A173642.
%K A234398 nonn,uned
%O A234398 1,2
%A A234398 _Paul Curtz_, Dec 25 2013