A348780 Partial sums of A347113.

1, 5, 15, 37, 83, 177, 182, 184, 190, 204, 207, 215, 227, 253, 262, 277, 295, 333, 346, 353, 369, 403, 423, 447, 477, 539, 560, 571, 598, 630, 666, 740, 765, 793, 851, 969, 986, 1019, 1059, 1141, 1307, 1641, 1676, 1715, 1757, 1843, 1872, 1916, 1964, 2020, 2039, 2084, 2107, 2157, 2211, 2271, 2393

Offset

1,2

Comments

Needs an estimate for the asymptotic growth rate.

Links

Stefano Spezia, Table of n, a(n) for n = 1..10000

Prog

(Python)
from math import gcd
def A348780(n):
    j, nset, m, s = 2, {1}, 2, 1
    for _ in range(n-1):
        k = m
        while k == j or gcd(k, j) == 1 or k in nset:
            k += 1
        j = k+1
        s += k
        nset.add(k)
        while m in nset:
            m += 1
    return s # Chai Wah Wu, Nov 13 2021

Crossrefs

Cf. A347113.

Sequence in context: A146797 A213487 A005491 * A142964 A050488 A188282

Adjacent sequences: A348777 A348778 A348779 * A348781 A348782 A348783

Keyword

nonn

Author

N. J. A. Sloane, Nov 13 2021

Status

approved