A353718 Lengths of runs of identical terms in A353710.

1, 1, 1, 3, 8, 40, 3, 20, 10, 4, 95, 60, 77, 227, 498, 162, 438, 988, 334, 946, 1342, 13633, 1446, 810, 103, 140, 7033, 2518, 2369, 5096, 1719, 300, 2397, 14590, 434, 6539, 26193, 20403, 13857, 10, 26972, 24908, 44745, 3346, 149938, 5859, 29919, 132184, 123679

Offset: 1

Author

N. J. A. Sloane, May 09 2022

Keywords

• nonn
• base

Examples

			The first 60 terms of A353710 are 0, / 1, / 2, / 3, 3, 3, / 5, 5, 5, 5, 5, 5, 5, 5, / 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, / 11, 11, 11, / 15, 15, 15, ... The slashes indicate the initial runs of lengths 1, 1, 1, 3, 8, 40, 3, ...
		

Links

• Rémy Sigrist, Table of n, a(n) for n = 1..132
• Rémy Sigrist, C++ program

Crossrefs

Cf. A353709, A353710.

Programs

Python

from itertools import count, islice
def A353718_gen(): # generator of terms
    s, a, b, c, ab, k = {0,1}, 0, 1, 2, 1, 1
    yield from (1,1)
    while True:
        for n in count(c):
            if not (n & ab or n in s):
                a, b = b, n
                ab = a|b
                s.add(n)
                if c in s:
                    yield k
                    k = 0
                    while c in s:
                        c += 1
                k += 1
                break
A353718_list = list(islice(A353718_gen(),20)) # Chai Wah Wu, May 10 2022

Extensions

More terms from Rémy Sigrist, May 09 2022