A370956 Record high values in A245340.

0, 1, 4, 8, 21, 1518, 2510, 4100, 11181, 18414, 30374, 50121, 82924, 136341, 611212, 4477981, 7351356, 12086260, 19861634, 32648059, 53646155, 144857355, 238062163, 643132294, 1736990151, 4691130396, 7709412048

Offset: 1

Author

N. J. A. Sloane, Mar 13 2024

Keywords

• nonn
• more

Comments

These numbers take a record number of steps to appear in A125717.

Crossrefs

Cf. A125717, A245340, A245394, A245395, A370951.

See A370959 for the indices of these records in A245340.

Programs

Python

from itertools import count, islice
def A370956_gen(): # generator of terms
    a, aset, b, c = 0, set(), 0, -1
    for n in count(1):
        aset.add(a)
        if a==b:
            if n-1>c:
                c = n-1
                yield c
            while b in aset:
                b += 1
        a = next(a for a in count(a%n,n) if a not in aset)
A370956_list = list(islice(A370956_gen(),20)) # Chai Wah Wu, Mar 28 2024

Extensions

a(17)-a(24) from Michael S. Branicky, Mar 28 2024

a(25)-a(27) from Chai Wah Wu, Mar 28 2024