A230500 Indices of "power odious-evil stability" of odd integers 2*n-1 > 1 (see comment).

3, 1, 2, 1, 2, 1, 3, 1, 2, 1, 1, 3, 4, 1, 2, 1, 3, 1, 1, 2, 1, 2, 1, 3, 1, 3, 2, 4, 4, 1, 3, 1, 3, 1, 1, 1, 1, 1, 3, 1, 3, 1, 2, 1, 2, 1, 1, 3, 2, 1, 8, 4, 1, 1, 2, 1, 1, 3, 2, 2, 2, 1, 2, 1, 3, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 3, 3, 1, 1, 2, 3, 1, 1, 3, 1

Offset

2,1

Comments

We say that odious 2*n-1, n>=2, has "power odious-evil stability" of index k, if k is the maximal, such that the numbers 2*n-1, (2n-1)^2, ... , (2n-1)^k all are evil or all are odious.

For example, 3, 3^2, 3^3 are evil, while 3^4 is odious. So 3 has power stability of index 3. For 5 it is 1, for 7 it is 2, etc.

Links

Peter J. C. Moses, Table of n, a(n) for n = 2..10001

Vladimir Shevelev, "Odious-evil stability" of integers

Crossrefs

Cf. A000069, A001969, A230454, A230495, A230496, A230497, A230498.

Sequence in context: A276988 A084642 A271418 * A010281 A353361 A298421

Adjacent sequences: A230497 A230498 A230499 * A230501 A230502 A230503

Keyword

nonn,base

Author

Vladimir Shevelev, Oct 21 2013

Status

approved