A348781 Partial sums of A342585.

0, 1, 2, 2, 4, 6, 8, 8, 11, 13, 17, 18, 19, 19, 23, 27, 31, 32, 36, 36, 41, 46, 50, 51, 57, 59, 60, 60, 66, 73, 78, 79, 85, 88, 91, 92, 92, 99, 108, 113, 116, 122, 126, 130, 132, 132, 140, 149, 155, 159, 168, 172, 177, 179, 180, 183, 183, 192, 202, 209, 214, 224, 230, 236, 239, 240, 244, 246, 246

Offset

1,3

Comments

Needs an estimate for the asymptotic growth rate.

Links

N. J. A. Sloane, Table of n, a(n) for n = 1..25000

Prog

(Python)
def A348781(n):
    k, s, c = 0, 0, dict()
    while True:
        m, r = 0, 1
        while r > 0:
            k += 1
            if k > n:
                return s
            r = c.get(m, 0)
            s += r
            c[r] = c.get(r, 0)+1
            m += 1 # Chai Wah Wu, Nov 13 2021

Crossrefs

Cf. A342585.

Sequence in context: A350652 A081488 A199117 * A194695 A194693 A308841

Adjacent sequences: A348778 A348779 A348780 * A348782 A348783 A348784

Keyword

nonn

Author

N. J. A. Sloane, Nov 13 2021

Status

approved