A335296 Least index a(n) such that the sequences b(n,m) from A334539 are purely periodic after a(n).
1, 1, 1, 1, 1, 1, 16, 24, 70, 31, 98, 112, 116, 170, 216, 488, 2012, 795, 328, 219, 2993, 4486, 1555, 814, 3575, 12296, 18386, 29659, 13665, 2162, 47685, 52346, 69061, 447927, 472933, 33798, 857812, 179171, 47447, 1195784, 332172, 618783, 248092, 3947618, 2718980, 15924182, 2857983, 3536883, 8606700
Offset: 1
Keywords
Examples
The sequence b(3, m) is 1, 1, 2, 1, 2, 2, 2, 3, 1, 1, 2, ... which is periodic at index 1 with period 8. The sequence b(8, m) is 1, 1, 2, 1, 3, 1, 4, ... 3, 4, 1, 2, 3, 3, 4, 2, 2, 3, 3, 4, 2, 3, 3, 4, 2, 2, 3, 3, ... which is periodic at index 24 with period 9.
Links
- Elad Michael, Table of n, a(n) for n = 1..100
- Reddit user supermac30, Foggy Sequences.
Crossrefs
Cf. A334539.
Programs
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Python
def a(n): b = [1]; for i in range(2,n+1): b.append(b.count(b[-1])); prev = {tuple(b):1}; m = 1; while(True): b.append(b.count(b[-1])); del b[0]; m += 1; if(tuple(b) in prev): return prev[tuple(b)] else: prev[tuple(b)] = m;
Comments