login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A183169 Tree generated by the squares. 3
1, 2, 4, 3, 16, 6, 9, 5, 256, 20, 36, 8, 81, 12, 25, 7, 65536, 272, 400, 24, 1296, 42, 64, 11, 6561, 90, 144, 15, 625, 30, 49, 10, 4294967296, 65792, 73984, 288, 160000, 420, 576, 29, 1679616, 1332, 1764, 48, 4096, 72, 121, 14 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

A permutation of the positive integers.  See the comment at A183079 (tree generated by the triangular numbers). The leftmost numbers (1,2,4,16,...) are, after the initial 1, given by A001146.   The rightmost numbers (1,2,3,5,7,10,...) are, after the initial 1, the iterates of the nonsquare function; see a comment at A033638.

LINKS

Table of n, a(n) for n=1..48.

FORMULA

Let L(n) be the n-th square (A000290).

Let U(n) be the n-th nonsquare (A000037).

The tree-array T(n,k) is then given by rows:

T(0,0)=1; T(1,0)=2;

T(n,2j)=L(T(n-1),j);

T(n,2j+1)=U(T(n-1),j);

for j=0,1,...,2^(n-1)-1, n>=2.

EXAMPLE

First levels of the tree:

......................1

......................2

...........4.....................3

.......16.......6...........9..........5

...256...20...36..8......81...12....25...7

CROSSREFS

Cf. A183079, A000037, A183169, A001146, A033638.

Sequence in context: A115399 A109429 A114894 * A225546 A053124 A242500

Adjacent sequences:  A183166 A183167 A183168 * A183170 A183171 A183172

KEYWORD

nonn,tabf

AUTHOR

Clark Kimberling, Dec 28 2010

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified June 28 09:49 EDT 2017. Contains 288813 sequences.