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

1,4

Links

Rémy Sigrist, Table of n, a(n) for n = 1..132

Rémy Sigrist, C++ program

Example

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, ...

Prog

(C++) See Links section.
(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

Crossrefs

Cf. A353709, A353710.

Sequence in context: A108262 A034892 A072687 * A260817 A262126 A110561

Adjacent sequences: A353715 A353716 A353717 * A353719 A353720 A353721

Keyword

nonn,base

Author

N. J. A. Sloane, May 09 2022

Extensions

More terms from Rémy Sigrist, May 09 2022

Status

approved