A165129 -id:A165129 - cp's OEIS frontend

A165120 Length of cycle mentioned in A165119.

1, 2, 2, 3, 3, 5, 1, 14, 2, 1, 4, 12, 1, 5, 4, 1, 1, 6, 6, 2, 2, 1, 6, 4, 11, 1, 1, 1, 3, 6, 4, 2, 1, 1, 2, 7, 1, 6, 9, 1, 1, 1, 4, 1, 4, 1, 6, 15, 1, 1, 1, 4, 6, 7, 4, 1, 10, 1, 2, 2, 2, 1, 1, 1, 8, 3, 2, 7, 4, 1, 6, 1, 2, 1, 1, 1, 7, 4, 6, 3, 6, 3, 2, 8, 3, 2, 7, 4, 1, 13, 1, 1, 2, 1, 2, 20, 1, 5, 4, 6, 3, 2

Offset: 1

Joseph Myers, Sep 04 2009

Joseph Myers, Table of n, a(n) for n=1..1560
Anthony Kay and Katrina Downes-Ward, Fixed Points and Cycles of the Kaprekar Transformation: 1. Odd Bases, Journal of Integer Sequences, Vol. 25 (2022), Article 22.6.7.
Index entries for the Kaprekar map

Cf. A165110, A165119, A165116, A165118, A165122, A165129.

In other bases: A000012 (base 2), A165003 (base 3), A165022 (base 4), A165042 (base 5), A165061 (base 6), A165081 (base 7), A165100 (base 8), A164719 (base 10).

A165122 Length of cycle mentioned in A165121.

Original entry on oeis.org

2, 2, 3, 3, 5, 14, 2, 4, 12, 5, 4, 6, 6, 2, 2, 6, 4, 11, 3, 6, 4, 2, 2, 7, 6, 9, 4, 4, 6, 15, 4, 6, 7, 4, 10, 2, 2, 2, 8, 3, 2, 7, 4, 6, 2, 7, 4, 6, 3, 6, 3, 2, 8, 3, 2, 7, 4, 13, 2, 2, 20, 5, 4, 6, 3, 2, 8, 3, 2, 7, 4, 31, 6, 3, 7, 5, 8, 5, 4, 6, 3, 2, 8, 3, 2, 7, 4, 7, 22, 7, 3, 8, 5, 7, 5, 8, 5, 4, 6, 3, 2

Offset: 1

Joseph Myers, Sep 04 2009

Joseph Myers, Table of n, a(n) for n=1..1282
Index entries for the Kaprekar map

Cf. A165110, A165121, A165116, A165118, A165120, A165129.

In other bases: Empty (base 2), A165005 (base 3), A165024 (base 4), A165044 (base 5), A165063 (base 6), A165083 (base 7), A165102 (base 8), A164721 (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

Joseph Myers, Sep 04 2009

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

Joseph Myers, Table of n, a(n) for n=1..1560
Index entries for the Kaprekar map

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).

cp's OEIS Frontend

A165120 Length of cycle mentioned in A165119.

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A165122 Length of cycle mentioned in A165121.

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

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