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A234398 Distribution of the natural numbers using the sequences family mentioned in the comments. 1
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, 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, 6, 10, 6, 2, 6, 10, 7 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Based on A016825=2,6,10,..., the family is
N16(1)=1, followed by 2's =A040000,
N16(2)=1,2,3,4,5, followed by 6's =A101272,
N16(3)=1,2,3,4,5,6,7,8,9, followed by 10's, not in the OEIS,
N16(4)=1,2,3,4,5,6,7,8,9,10,11,12,13, followed by 14's, idem.
The N16(n) gives the successive columns beginning at row 1, 3, 9, 19, ... =A058331.
Sum of every row: n =A000027.
Note that with only N16(1),
1,
2,
2, 1,
2, 2,
2, 2, 1,
2, 2, 2,
2, 2, 2, 1,
2, 2, 2, 2,
2, 2, 2, 2, 1, etc
is A169695(n+1).
A169695(n) corresponds to A028310.
LINKS
EXAMPLE
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, etc.
CROSSREFS
Cf. A173642.
Sequence in context: A302490 A316841 A000003 * A168208 A333003 A352072
KEYWORD
nonn,uned
AUTHOR
Paul Curtz, Dec 25 2013
STATUS
approved

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Last modified May 19 05:56 EDT 2024. Contains 372666 sequences. (Running on oeis4.)