cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-9 of 9 results.

A164885 Length of preperiodic part of trajectory of n under iteration of the base-2 Kaprekar map in A164884.

Original entry on oeis.org

0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1
Offset: 0

Views

Author

Joseph Myers, Aug 29 2009

Keywords

Comments

All base-2 cycles are fixed points, so one less than A164886.

Links

Crossrefs

Cf. A164884, A163205, A164886, A164887.
In other bases: A164995 (base 3), A165014 (base 4), A165034 (base 5), A165053 (base 6), A165073 (base 7), A165092 (base 8), A165112 (base 9), A151962 (base 10).

Extensions

Cross-references edited by Joseph Myers, Sep 04 2009

A151962 Length of preperiodic part of trajectory of n under iteration of the Kaprekar map in A151949.

Original entry on oeis.org

0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 6, 4, 5, 3, 3, 5, 4, 6, 2, 1, 2, 6, 4, 5, 3, 3, 5, 4, 6, 2, 1, 2, 6, 4, 5, 3, 3, 5, 4, 6, 2, 1, 2, 6, 4, 5, 3, 3, 5, 4, 6, 2, 1, 2, 6, 4, 5, 3, 3, 5, 4, 6, 2, 1, 2, 6, 4, 5, 3, 3, 5, 4, 6, 2, 1, 2, 6, 4, 5, 3, 3, 5, 4, 6, 2, 1, 2, 6, 4, 5, 3, 3, 5, 4, 6, 2
Offset: 0

Views

Author

N. J. A. Sloane, Aug 19 2009

Keywords

Examples

			13 -> 18 -> 63 -> 27 -> 45 -> 9 -> 0 -> 0, so a(13)=6.

Links

Crossrefs

Cf. A151949, A151963. Strictly different from A072137.
In other bases: A164885 (base 2), A164995 (base 3), A165014 (base 4), A165034 (base 5), A165053 (base 6), A165073 (base 7), A165092 (base 8), A165112 (base 9). - Joseph Myers, Sep 05 2009

Programs

  • Maple
    A151949 := proc(n)
local tup;
tup := sort(convert(n,base,10)) ;
add( (op(i,tup)-op(-i,tup)) *10^(i-1),i=1..nops(tup)) :
end:
A151962 := proc(n)
local tra,x ;
tra := [n] ;
x := n ;
while true do
x := A151949(x) ;
if member(x,tra,'l') then
RETURN(l-1) ;
fi;
tra := [op(tra),x] :
od:
end:
seq(A151962(n),n=0..120) ;
# R. J. Mathar, Aug 20 2009

Extensions

More terms from R. J. Mathar, Aug 20 2009

A164995 Length of preperiodic part of trajectory of n under iteration of the base-3 Kaprekar map in A164993.

Original entry on oeis.org

0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 3, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 3, 1, 3, 1, 1, 1, 2, 1, 3, 1
Offset: 0

Views

Author

Joseph Myers, Sep 04 2009

Keywords

Links

Crossrefs

Cf. A164993, A164996.
In other bases: A164885 (base 2), A165014 (base 4), A165034 (base 5), A165053 (base 6), A165073 (base 7), A165092 (base 8), A165112 (base 9), A151962 (base 10).

A165014 Length of preperiodic part of trajectory of n under iteration of the base-4 Kaprekar map in A165012.

Original entry on oeis.org

0, 1, 1, 1, 2, 1, 2, 3, 3, 2, 1, 2, 3, 3, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 3, 1, 1, 1, 1, 1, 2, 2, 1, 1
Offset: 0

Views

Author

Joseph Myers, Sep 04 2009

Keywords

Links

Crossrefs

Cf. A165012, A165015.
In other bases: A164885 (base 2), A164995 (base 3), A165034 (base 5), A165053 (base 6), A165073 (base 7), A165092 (base 8), A165112 (base 9), A151962 (base 10).

A165034 Length of preperiodic part of trajectory of n under iteration of the base-5 Kaprekar map in A165032.

Original entry on oeis.org

0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2
Offset: 0

Views

Author

Joseph Myers, Sep 04 2009

Keywords

Links

Crossrefs

Cf. A165032, A165035.
In other bases: A164885 (base 2), A164995 (base 3), A165014 (base 4), A165053 (base 6), A165073 (base 7), A165092 (base 8), A165112 (base 9), A151962 (base 10).

A165053 Length of preperiodic part of trajectory of n under iteration of the base-6 Kaprekar map in A165051.

Original entry on oeis.org

0, 1, 1, 1, 1, 1, 2, 1, 2, 4, 3, 3, 4, 2, 1, 2, 4, 3, 3, 4, 2, 1, 2, 4, 3, 3, 4, 2, 1, 2, 4, 3, 3, 4, 2, 1, 2, 2, 3, 1, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 2, 3, 1, 2, 1, 3, 3, 3, 1, 2, 2, 1, 1, 1, 1, 2, 3, 2, 2, 2, 2, 2, 3, 3, 3, 1, 2, 3, 3, 2, 2, 3, 1, 2, 3, 2, 1, 2, 3, 1, 1, 3, 2, 2, 3, 1, 2, 1, 3, 3, 3, 1, 3, 2, 1
Offset: 0

Views

Author

Joseph Myers, Sep 04 2009

Keywords

Links

Crossrefs

Cf. A165051, A165054.
In other bases: A164885 (base 2), A164995 (base 3), A165014 (base 4), A165034 (base 5), A165073 (base 7), A165092 (base 8), A165112 (base 9), A151962 (base 10).

A165073 Length of preperiodic part of trajectory of n under iteration of the base-7 Kaprekar map in A165071.

Original entry on oeis.org

0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 3, 4, 2, 4, 3, 2, 1, 2, 3, 4, 2, 4, 3, 2, 1, 2, 3, 4, 2, 4, 3, 2, 1, 2, 3, 4, 2, 4, 3, 2, 1, 2, 3, 4, 2, 4, 3, 2, 1, 2, 2, 3, 1, 1, 2, 3, 2, 1, 2, 3, 1, 1, 2, 3, 2, 2, 3, 1, 1, 2, 1, 3, 3, 3, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3, 1, 1, 2, 3
Offset: 0

Views

Author

Joseph Myers, Sep 04 2009

Keywords

Links

Crossrefs

Cf. A165071, A165074.
In other bases: A164885 (base 2), A164995 (base 3), A165014 (base 4), A165034 (base 5), A165053 (base 6), A165092 (base 8), A165112 (base 9), A151962 (base 10).

A165093 (Length of preperiodic part) + (length of cycle) of trajectory of n under iteration of the base-8 Kaprekar map in A165090.

Original entry on oeis.org

1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 5, 2, 4, 4, 3, 5, 3, 2, 3, 5, 1, 4, 4, 2, 5, 3, 2, 3, 5, 2, 4, 4, 2, 5, 3, 2, 3, 5, 2, 4, 4, 2, 5, 3, 2, 3, 5, 3, 4, 4, 2, 5, 3, 2, 3, 5, 3, 4, 4, 2, 5, 3, 2, 3, 3, 5, 4, 2, 3, 4, 5, 3, 2, 3, 5, 4, 2, 3, 4, 5, 3, 3, 5, 4, 2, 3, 4, 4, 5, 5, 5, 4, 2, 3, 4, 2, 4, 4, 4, 4, 2, 3, 4, 3
Offset: 0

Views

Author

Joseph Myers, Sep 04 2009

Keywords

Links

Crossrefs

Cf. A165090, A165092.
In other bases: A164886 (base 2), A164996 (base 3), A165015 (base 4), A165035 (base 5), A165054 (base 6), A165074 (base 7), A165113 (base 9), A151963 (base 10).

A165112 Length of preperiodic part of trajectory of n under iteration of the base-9 Kaprekar map in A165110.

Original entry on oeis.org

0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 3, 2, 2, 0, 3, 1, 2, 1, 2, 1, 3, 2, 2, 1, 3, 1, 2, 1, 2, 1, 3, 2, 2, 2, 3, 1, 2, 1, 2, 1, 3, 2, 2, 2, 3, 0, 2, 1, 2, 1, 3, 1, 2, 2, 3, 1, 2, 1, 2, 1, 3, 1, 2, 2, 3, 1, 2, 1, 2, 2, 3, 1, 2, 2, 3, 1, 2, 1, 2, 2, 4, 3, 1, 1, 2, 3, 4, 2, 1, 2, 4, 3, 1, 1, 2, 3, 4, 2, 2, 4, 3, 1
Offset: 0

Views

Author

Joseph Myers, Sep 04 2009

Keywords

Links

Crossrefs

Cf. A165110, A165113.
In other bases: A164885 (base 2), A164995 (base 3), A165014 (base 4), A165034 (base 5), A165053 (base 6), A165073 (base 7), A165092 (base 8), A151962 (base 10).
Showing 1-9 of 9 results.

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