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 11 results. Next

A099010 Consider the Kaprekar map n->K(n) defined in A151949. Sequence gives numbers belonging to cycles of length greater than 1.

Original entry on oeis.org

53955, 59994, 61974, 62964, 63954, 71973, 74943, 75933, 82962, 83952, 420876, 642654, 750843, 840852, 851742, 860832, 862632, 7509843, 7519743, 7619733, 8429652, 8439552, 8649432, 8719722, 9529641, 43208766, 64308654, 64326654
Offset: 1

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Author

Klaus Brockhaus, Sep 22 2004

Keywords

Comments

86526432, 64308654, 83208762 form a cycle of length three and 86308632, 86326632, 64326654, 43208766, 85317642, 75308643, 84308652 form a cycle of length seven.

Examples

			53955 and 59994 form a cycle of length 2 and hence are terms: 53955 -> 95553 - 35559 = 59994 -> 99954 - 45999 = 53955.
		

Crossrefs

Cf. A164715 (corresponding cycle lengths) [From Joseph Myers, Aug 24 2009]
In other bases: Empty (base 2), A165000 (base 3), A165019 (base 4), A165039 (base 5), A165058 (base 6), A165078 (base 7), A165097 (base 8), A165117 (base 9). [From Joseph Myers, Sep 05 2009]

Extensions

Definition revised ny N. J. A. Sloane, Aug 18 2009
Extended by Joseph Myers, Aug 22 2009

A165020 Length of cycle mentioned in A165019.

Original entry on oeis.org

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

Views

Author

Joseph Myers, Sep 04 2009

Keywords

Crossrefs

In other bases: Empty (base 2), A165001 (base 3), A165040 (base 5), A165059 (base 6), A165079 (base 7), A165098 (base 8), A165118 (base 9), A164715 (base 10).

A164717 Length of cycle mentioned in A164716.

Original entry on oeis.org

1, 1, 1, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 7, 1, 1, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 7, 1, 3, 7, 7, 3, 7, 7, 7, 7, 3, 1, 1, 14, 14, 14, 14, 14, 1, 14, 14, 14, 14, 14, 14, 14, 14, 14, 7, 1, 3, 3, 7, 3, 7, 3, 3, 7, 7, 7, 7, 3, 3, 3, 3, 3, 1, 3, 3, 1, 8, 8, 5, 1, 5, 8, 8, 8, 5, 5, 8, 8, 5, 8, 7, 1, 1, 3
Offset: 1

Views

Author

Joseph Myers, Aug 23 2009

Keywords

Crossrefs

In other bases: A000012 (base 2), A164999 (base 3), A165018 (base 4), A165038 (base 5), A165057 (base 6), A165077 (base 7), A165096 (base 8), A165116 (base 9). [From Joseph Myers, Sep 05 2009]

A164719 Length of cycle mentioned in A164718.

Original entry on oeis.org

1, 1, 1, 2, 4, 4, 7, 1, 1, 8, 7, 1, 3, 1, 1, 14, 1, 7, 1, 3, 3, 3, 3, 1, 1, 8, 5, 1, 7, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 1, 3, 3, 1, 1, 5, 1, 5, 2, 5, 7, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 3, 3, 3, 1, 3, 3, 1, 3, 3, 1, 1, 1, 5, 1, 5, 2, 5, 5, 5, 7, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3
Offset: 1

Views

Author

Joseph Myers, Aug 23 2009

Keywords

Crossrefs

In other bases: A000012 (base 2), A165003 (base 3), A165022 (base 4), A165042 (base 5), A165061 (base 6), A165081 (base 7), A165100 (base 8), A165120 (base 9). [From Joseph Myers, Sep 05 2009]

A164721 Length of cycle mentioned in A164720.

Original entry on oeis.org

2, 4, 4, 7, 8, 7, 3, 14, 7, 3, 3, 3, 3, 8, 5, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 2, 5, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 2, 5, 5, 5, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 2, 5, 5, 5, 5, 7, 3, 3
Offset: 1

Views

Author

Joseph Myers, Aug 23 2009

Keywords

Crossrefs

In other bases: Empty (base 2), A165005 (base 3), A165024 (base 4), A165044 (base 5), A165063 (base 6), A165083 (base 7), A165102 (base 8), A165122 (base 9). [From Joseph Myers, Sep 05 2009]

A165001 Length of cycle mentioned in A165000.

Original entry on oeis.org

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

Views

Author

Joseph Myers, Sep 04 2009

Keywords

Crossrefs

In other bases: Empty (base 2), A165020 (base 4), A165040 (base 5), A165059 (base 6), A165079 (base 7), A165098 (base 8), A165118 (base 9), A164715 (base 10).

A165040 Length of cycle mentioned in A165039.

Original entry on oeis.org

2, 2, 4, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 5, 5, 5, 3, 3, 3, 5, 5, 4, 5, 5, 4, 4, 5, 4, 4, 4, 6, 2, 6, 6, 4, 4, 6, 6, 2, 6, 5, 5, 5, 5, 5, 3, 3, 3, 5, 4, 4, 5, 5, 5, 5, 4, 4, 4, 2, 2, 4, 4, 4, 4, 2, 2, 4, 4, 4, 6, 2, 6, 6, 6, 6, 2, 6, 5, 5, 5
Offset: 1

Views

Author

Joseph Myers, Sep 04 2009

Keywords

Crossrefs

In other bases: Empty (base 2), A165001 (base 3), A165020 (base 4), A165059 (base 6), A165079 (base 7), A165098 (base 8), A165118 (base 9), A164715 (base 10).

A165059 Length of cycle mentioned in A165058.

Original entry on oeis.org

6, 6, 6, 6, 6, 6, 2, 2, 3, 3, 3, 2, 2, 7, 7, 7, 2, 2, 7, 7, 7, 2, 2, 7, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2
Offset: 1

Views

Author

Joseph Myers, Sep 04 2009

Keywords

Crossrefs

In other bases: Empty (base 2), A165001 (base 3), A165020 (base 4), A165040 (base 5), A165079 (base 7), A165098 (base 8), A165118 (base 9), A164715 (base 10).

A165079 Length of cycle mentioned in A165078.

Original entry on oeis.org

2, 2, 3, 3, 3, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 9, 9, 9, 2, 2, 9, 9, 9, 9, 9, 9, 2, 2, 2, 2, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 2, 2, 2, 2, 4, 4, 4, 2, 2
Offset: 1

Views

Author

Joseph Myers, Sep 04 2009

Keywords

Crossrefs

In other bases: Empty (base 2), A165001 (base 3), A165020 (base 4), A165040 (base 5), A165059 (base 6), A165098 (base 8), A165118 (base 9), A164715 (base 10).

A165098 Length of cycle mentioned in A165097.

Original entry on oeis.org

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

Views

Author

Joseph Myers, Sep 04 2009

Keywords

Crossrefs

In other bases: Empty (base 2), A165001 (base 3), A165020 (base 4), A165040 (base 5), A165059 (base 6), A165079 (base 7), A165118 (base 9), A164715 (base 10).
Showing 1-10 of 11 results. Next