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 1-10 of 10 results.

A165108 Smallest member of cycle corresponding to n-th term of A165107.

Original entry on oeis.org

0, 21, 252, 1589, 1022, 21483, 17892, 213402, 102837, 147420, 1445787, 1707930, 1711962, 13667738, 16092433, 6589877, 110132442, 111443346, 93093147, 76545756, 878996762, 1029991697, 874802586, 421817781, 1068263553
Offset: 1

Views

Author

Joseph Myers, Sep 04 2009

Keywords

Comments

Initial terms in base 8: 0, 25, 374, 3065, 1776, 51753, 42744, 640632, 310665, 437734.

Links

Crossrefs

Cf. A165090, A165095, A165107, A165109.
In other bases: A163205 (base 2), A165010 (base 3), A165030 (base 4), A165049 (base 5), A165069 (base 6), A165088 (base 7), A165128 (base 9), A151965 (base 10).

A165109 Length of cycle corresponding to n-th term of A165107.

Original entry on oeis.org

1, 1, 1, 3, 5, 4, 2, 1, 3, 1, 7, 4, 1, 3, 1, 3, 5, 4, 5, 1, 3, 3, 3, 3, 1, 6, 4, 2, 3, 3, 3, 3, 3, 1, 4, 2, 3, 3, 1, 1, 1, 9, 5, 3, 3, 1, 3, 3, 1, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 12, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 3, 5, 1, 2, 1, 3, 3, 3, 6, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3
Offset: 1

Views

Author

Joseph Myers, Sep 04 2009

Keywords

Links

Crossrefs

Cf. A165090, A165095, A165107, A165108.
In other bases: A000012 (base 2), A165011 (base 3), A165031 (base 4), A165050 (base 5), A165070 (base 6), A165089 (base 7), A165129 (base 9), A151966 (base 10).

A164887 a(n) = smallest number that leads to a new fixed point under the base-2 Kaprekar map of A164884.

Original entry on oeis.org

0, 9, 17, 33, 35, 65, 67, 129, 131, 135, 257, 259, 263, 513, 515, 519, 527, 1025, 1027, 1031, 1039, 2049, 2051, 2055, 2063, 2079, 4097, 4099, 4103, 4111, 4127, 8193, 8195, 8199, 8207, 8223, 8255, 16385, 16387, 16391, 16399, 16415, 16447, 32769, 32771
Offset: 1

Views

Author

Joseph Myers, Aug 29 2009

Keywords

Comments

Note that all base-2 cycles are fixed points.
Initial terms in base 2: 0,1001,10001,100001,100011,1000001,1000011,10000001,10000011,10000111.
The corresponding fixed points appear in ascending numerical order (i.e., A163205).

Links

Crossrefs

Cf. A164884, A163205, A164885, A164886.
In other bases: A165009 (base 3), A165029 (base 4), A165048 (base 5), A165068 (base 6), A165087 (base 7), A165107 (base 8), A165127 (base 9), A151964 (base 10).

Extensions

Cross-references edited by Joseph Myers, Sep 04 2009

A151964 a(n) = smallest number that leads to a new cycle under the Kaprekar map of A151949.

Original entry on oeis.org

0, 102, 1001, 10001, 10003, 10045, 100001, 100147, 100155, 1000001, 10000001, 10000012, 10000024, 10001567, 100000001, 100000002, 100011555, 1000000001, 1000000003, 1000000004, 1000000005, 1000000014, 1000000024, 1000002499
Offset: 1

Views

Author

Klaus Brockhaus, Aug 19 2009

Keywords

Links

Crossrefs

Cf. A151949, A151965, A151966.
In other bases: A164887 (base 2), A165009 (base 3), A165029 (base 4), A165048 (base 5), A165068 (base 6), A165087 (base 7), A165107 (base 8), A165127 (base 9). [From Joseph Myers, Sep 05 2009]

Extensions

Extended by Joseph Myers, Aug 22 2009

A165009 a(n) = smallest number that leads to a new cycle under the base-3 Kaprekar map of A164993.

Original entry on oeis.org

0, 28, 82, 244, 730, 737, 2188, 6562, 6569, 6587, 19684, 19691, 59050, 59057, 59062, 59075, 59129, 177148, 177173, 531442, 531449, 531467, 531485, 531521, 531683, 1594324, 1594331, 1594403, 4782970, 4782977, 4782995, 4783049, 4783103
Offset: 1

Views

Author

Joseph Myers, Sep 04 2009

Keywords

Comments

Initial terms in base 3: 0, 1001, 10001, 100001, 1000001, 1000022, 10000001, 100000001, 100000022, 100000222.

Links

Crossrefs

Cf. A164993, A164998, A165010, A165011.
In other bases: A164887 (base 2), A165029 (base 4), A165048 (base 5), A165068 (base 6), A165087 (base 7), A165107 (base 8), A165127 (base 9), A151964 (base 10).

A165029 a(n) = smallest number that leads to a new cycle under the base-4 Kaprekar map of A165012.

Original entry on oeis.org

0, 18, 65, 66, 257, 1025, 1039, 1050, 4097, 16385, 16386, 16399, 16447, 65537, 65551, 65898, 262145, 262146, 262207, 262239, 262399, 1048577, 1048578, 1048591, 1048639, 4194305, 4194310, 4194319, 4194399, 4194559, 4194687, 4195327
Offset: 1

Views

Author

Joseph Myers, Sep 04 2009

Keywords

Comments

Initial terms in base 4: 0, 102, 1001, 1002, 10001, 100001, 100033, 100122, 1000001, 10000001.

Links

Crossrefs

Cf. A165012, A165017, A165030, A165031.
In other bases: A164887 (base 2), A165009 (base 3), A165048 (base 5), A165068 (base 6), A165087 (base 7), A165107 (base 8), A165127 (base 9), A151964 (base 10).

A165048 a(n) = smallest number that leads to a new cycle under the base-5 Kaprekar map of A165032.

Original entry on oeis.org

0, 8, 27, 126, 626, 3126, 15626, 78126, 390626, 1953126, 9765626, 9765824, 48828126, 244140626, 244140699, 244141624, 1220703126, 1220703127, 6103515626, 6103515639, 6103515656, 6103515699, 6103515999, 6103520624
Offset: 1

Views

Author

Joseph Myers, Sep 04 2009

Keywords

Comments

Initial terms in base 5: 0, 13, 102, 1001, 10001, 100001, 1000001, 10000001, 100000001, 1000000001.

Links

Crossrefs

Cf. A165032, A165037, A165049, A165050.
In other bases: A164887 (base 2), A165009 (base 3), A165029 (base 4), A165068 (base 6), A165087 (base 7), A165107 (base 8), A165127 (base 9), A151964 (base 10).

A165068 a(n) = smallest number that leads to a new cycle under the base-6 Kaprekar map of A165051.

Original entry on oeis.org

0, 38, 217, 1297, 1311, 7777, 7779, 7790, 7833, 46657, 279937, 279938, 279986, 280043, 280238, 1679617, 1681257, 10077697, 10077698, 10077710, 10077803, 10077962, 10078343, 10079524, 60466177, 60466179, 60475766, 362797057
Offset: 1

Views

Author

Joseph Myers, Sep 04 2009

Keywords

Comments

Initial terms in base 6: 0, 102, 1001, 10001, 10023, 100001, 100003, 100022, 100133, 1000001.

Links

Crossrefs

Cf. A165051, A165056, A165069, A165070.
In other bases: A164887 (base 2), A165009 (base 3), A165029 (base 4), A165048 (base 5), A165087 (base 7), A165107 (base 8), A165127 (base 9), A151964 (base 10).

A165087 a(n) = smallest number that leads to a new cycle under the base-7 Kaprekar map of A165071.

Original entry on oeis.org

0, 51, 344, 2402, 16808, 117650, 823544, 5764802, 40353608, 40353623, 40354466, 282475250, 1977326744, 1977326763, 13841287202, 13841287211, 13841290483, 96889010408, 96889010409, 678223072850, 678223072851, 678223072995
Offset: 1

Views

Author

Joseph Myers, Sep 04 2009

Keywords

Comments

Initial terms in base 7: 0, 102, 1001, 10001, 100001, 1000001, 10000001, 100000001, 1000000001, 1000000022.

Links

Crossrefs

Cf. A165071, A165076, A165088, A165089.
In other bases: A164887 (base 2), A165009 (base 3), A165029 (base 4), A165048 (base 5), A165068 (base 6), A165107 (base 8), A165127 (base 9), A151964 (base 10).

A165127 a(n) = smallest number that leads to a new cycle under the base-9 Kaprekar map of A165110.

Original entry on oeis.org

0, 12, 83, 730, 731, 6562, 6591, 59050, 531442, 4782970, 4783971, 43046722, 43046723, 387420490, 387420491, 387429540, 3486784402, 3486852471, 31381059610, 31381059611, 31381059801, 282429536482, 282429536492
Offset: 1

Views

Author

Joseph Myers, Sep 04 2009

Keywords

Comments

Initial terms in base 9: 0, 13, 102, 1001, 1002, 10001, 10033, 100001, 1000001, 10000001.

Links

Crossrefs

Cf. A165110, A165115, A165128, A165129.
In other bases: A164887 (base 2), A165009 (base 3), A165029 (base 4), A165048 (base 5), A165068 (base 6), A165087 (base 7), A165107 (base 8), A151964 (base 10).
Showing 1-10 of 10 results.

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