A247176 -id:A247176 - cp's OEIS frontend

A249372 Numbers k such that A156257(k) != A074292(k).

47, 48, 56, 57, 128, 129, 137, 139, 147, 148, 176, 177, 182, 183, 185, 187, 188, 190, 192, 194, 195, 196, 197, 199, 201, 202, 203, 205, 207, 209, 210, 211, 212, 214, 218, 220, 222, 223, 227, 229, 230, 232, 233, 235, 237, 238, 239, 240, 242, 244

Offset: 1

Jean-Christophe Hervé, Nov 22 2014

nonn

Related to the position and frequency of runs of length 2 in the Kolakoski sequence A000002. Possible values of the difference A156257 - A074292 are -1, 0, 1, and a 1 seems to be always followed soon by a -1, indicating that the two sequences A074292 and A156257 are not equal but rather close.

Jean-Christophe Hervé, Table of n, a(n) for n = 1..49383

Cf. A000002, A074292, A156257, A247176 (values of the difference).

A251865 Irregular triangle read by rows in which row n lists the maximal-order elements (

Original entry on oeis.org

0, 1, 2, 3, 2, 3, 5, 3, 5, 3, 5, 7, 2, 5, 3, 7, 2, 6, 7, 8, 5, 7, 11, 2, 6, 7, 11, 3, 5, 2, 7, 8, 13, 3, 5, 11, 13, 3, 5, 6, 7, 10, 11, 12, 14, 5, 11, 2, 3, 10, 13, 14, 15, 3, 7, 13, 17, 2, 5, 10, 11, 17, 19, 7, 13, 17, 19, 5, 7, 10, 11, 14, 15, 17, 19, 20, 21, 5, 7, 11, 13, 17, 19, 23, 2, 3, 8, 12, 13, 17, 22, 23

Offset: 1

Eric Chen, May 20 2015

Conjecture: Triangle contains all nonsquare numbers infinitely many times.
The orders of the numbers in n-th row mod n are equal to A002322(n).
First and last terms of the n-th row are A111076(n) and A247176(n).
Length of the n-th row is A111725(n).
The n-th row is the same as A046147 for n with primitive roots.

			Read by rows:
n     maximal-order elements (<n) mod n
1     0
2     1
3     2
4     3
5     2, 3
6     5
7     3, 5
8     3, 5, 7
9     2, 5
10    3, 7
11    2, 6, 7, 8
12    5, 7, 11
13    2, 6, 7, 11
14    3, 5
15    2, 7, 8, 13
16    3, 5, 11, 13
17    3, 5, 6, 7, 10, 11, 12, 14
18    5, 11
19    2, 3, 10, 13, 14, 15
20    3, 7, 13, 17
etc.

Eric Chen, First 160 rows of triangle, flattened
Eric Chen, First 1000 rows of triangle

Cf. A111076, A247176, A111725, A046147, A046145, A046146, A046144, A060749, A001918, A071894, A008330.

a[n_] := Select[Range[0, n-1], GCD[#, n] == 1 && MultiplicativeOrder[#, n] == CarmichaelLambda[n]& ]; Table[a[n], {n, 1, 36}]

c(n)=lcm((znstar(n))[2])
a(n)=for(k=0,n-1,if(gcd(k, n)==1 && znorder(Mod(k,n))==c(n), print1(k, ",")))
n=1; while(n<37, a(n); n++)

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A249372 Numbers k such that A156257(k) != A074292(k).

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A251865 Irregular triangle read by rows in which row n lists the maximal-order elements (

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