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

1,3

Comments

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

Links

Table of n, a(n) for n=1..27.

Prog

(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

Crossrefs

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

See A370959 for the indices of these records in A245340.

Sequence in context: A248423 A319565 A129794 * A064503 A050482 A323584

Adjacent sequences: A370953 A370954 A370955 * A370957 A370958 A370959

Keyword

nonn,more

Author

N. J. A. Sloane, Mar 13 2024

Extensions

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

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

Status

approved