

A268034


A268032 with repeated 1's removed.


2



3, 5, 11, 3, 21, 3, 5, 43, 3, 5, 11, 3, 85, 3, 5, 11, 3, 21, 3, 5, 171, 3, 5, 11, 3, 21, 3, 5, 43, 3, 5, 11, 3, 341, 3, 5, 11, 3, 21, 3, 5, 43, 3, 5, 11, 3, 85, 3, 5, 11, 3, 21, 3, 5, 683, 3, 5, 11, 3, 21, 3, 5, 43, 3, 5
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OFFSET

1,1


COMMENTS

Records appear to be given by A001045 Jacobsthal numbers.
The terms between the A001045(n+3) are:
3
5
11
3,
21
3, 5,
43
3, 5, 11, 3,
85
3, 5, 11, 3, 21, 3, 5,
171
3, 5, 11, 3, 21, 3, 5, 43, 3, 5, 11, 3,
341
3, 5, 11, 3, 21, 3, 5, 43, 3, 5, 11, 3, 85, 3, 5, 11, 3, 21, 3, 5,
683
This gives the same sequence. Every column has the same number.
By rows,there are 0, 0, 1, 2, 4, 7, 12, 20, ... apparently = Fib(n+1)  1 = A000071 terms.(Comment from Paul Curtz).
From Paul Curtz, Jan 26 2016: (start)
a(n) is also in
0, 1, 1 0, 3, 0, 1, 5, 0, ... equivalent to A035614(n)
1, 1, 3, 1, 5, 1, 1, 11, 1, ... equivalent to A035612(n)
1, 3, 5, 1, 11, 1, 3, 21, 1, ... (compare to A268032)
3, 5, 11, 3, 21, 3, 5, 43, 3, ... a(n) (equivalent to a3(n) in A035612)
5, 11, 21, 5, 43, 5, 11, 85, 5, ...
etc.
Every vertical comes from A001045 (*).
Second row: first one removing all 0's.
Third row: second one removing a part of 1's respecting (*)
Fourth row: third one removing all 1's.
etc.
The offset 0 is homogeneous to these sequences. (End)


LINKS



EXAMPLE

A268032 begins 1, 1, 1, 1, 1, 3, 1, 1, 1, 5, 1, 1, 1, 1, 1, 11, 1, 1, 1, 1, 1, 3, 1, 1, 1, 21, ... hence this sequence begins 3, 5, 11, 3, 21, ...


CROSSREFS



KEYWORD

nonn


AUTHOR



STATUS

approved



