A031178 -id:A031178 - cp's OEIS frontend

A031179 Numbers having period-1 3-digitized sequences.

0, 1, 2, 3, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 17, 18, 19, 20, 21, 23, 24, 26, 27, 29, 30, 32, 33, 34, 35, 36, 37, 38, 39, 41, 42, 43, 44, 45, 47, 48, 50, 51, 53, 54, 56, 57, 58, 59, 60, 62, 63, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 80, 81, 83, 84, 85

Offset: 1

Eric W. Weisstein

Equivalently, numbers that eventually reach a fixed point under "x -> sum of cubes of digits of x". - Reinhard Zumkeller, Sep 17 2009

Reinhard Zumkeller, Table of n, a(n) for n = 1..1000
Eric Weisstein's World of Mathematics, Digitaddition

Complement of A165336.
Union of A035504, A008585, A165333, A165334, and A165335.
Cf. A031178.

Missing a(0)=0 inserted by Sean A. Irvine, Apr 14 2020

A355708 Irregular triangle read by rows in which row n lists the possible periods for the iterations of the map sum of n-th powers of digits.

Original entry on oeis.org

1, 1, 8, 1, 2, 3, 1, 2, 7, 1, 2, 4, 6, 10, 12, 22, 28, 1, 2, 3, 4, 10, 30, 1, 2, 3, 6, 12, 14, 21, 27, 30, 56, 92, 1, 25, 154, 1, 2, 3, 4, 8, 10, 19, 24, 28, 30, 80, 93, 1, 6, 7, 17, 81, 123

Offset: 1

Mohammed Yaseen, Jul 14 2022

			Triangle begins:
  1;
  1, 8;
  1, 2, 3;
  1, 2, 7;
  1, 2, 4, 6, 10, 12, 22, 28;
  1, 2, 3, 4, 10, 30;
  1, 2, 3, 6, 12, 14, 21, 27, 30, 56, 92;
  1, 25, 154;
  1, 2, 3, 4, 8, 10, 19, 24, 28, 30, 80, 93;
  1, 6, 7, 17, 81, 123;
  ...

Eric Weisstein's World of Mathematics, Digitaddition

Periods of sum of m-th powers of digits iterated: A031176 (m=2), A031178 (m=3), A031182 (m=4), A031186 (m=5), A031195 (m=6), A031200 (m=7), A031211 (m=8), A031212 (m=9), A031213 (m=10).

Sum of m-th powers of digits: A007953 (m=1), A003132 (m=2), A055012 (m=3), A055013 (m=4), A055014 (m=5), A055015 (m=6), A123253 (m=7), A210840 (m=8).

cp's OEIS Frontend

A031179 Numbers having period-1 3-digitized sequences.

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