A346601 -id:A346601 - cp's OEIS frontend

A346598 a(n) is the number of terms in A344005 that are equal to n.

2, 2, 2, 3, 2, 4, 3, 5, 2, 4, 4, 6, 2, 4, 7, 5, 4, 6, 4, 3, 4, 4, 6, 8, 4, 6, 7, 6, 6, 8, 5, 7, 4, 6, 4, 9, 2, 4, 8, 8, 6, 8, 4, 10, 8, 4, 8, 13, 6, 6, 7, 6, 6, 6, 8, 11, 4, 4, 10, 12, 2, 8, 13, 8, 8, 8, 4, 6, 8, 8, 10, 12, 2, 8, 9, 6, 6, 8, 8, 17, 6, 4, 10, 10, 6, 4, 11, 8, 10, 10, 8, 7, 4, 6, 11, 12

Offset: 1

Robert Dougherty-Bliss and N. J. A. Sloane, Jul 27 2021

nonn

If A344005(n) = m then n <= m*(m+1).

			A344005(n) is equal to 4 just for n = 5, 10, and 20, so a(4) = 3.

Chai Wah Wu, Table of n, a(n) for n = 1..10000

Cf. A344005, A346599, A346600, A346601.

# uses[python code from A344005]
def A346598(n):
    return sum(1 for m in range(1, n*(n + 1) + 1) if A344005(m) == n)
# Chai Wah Wu, Jul 29 2021

A346600 Indices of records in A346599.

Original entry on oeis.org

1, 2, 3, 4, 5, 9, 13, 33, 37, 61, 73, 141, 157, 193, 277, 313, 397, 421, 457, 541, 613, 661, 673, 733, 757, 877, 997, 1093, 1153, 1201, 1213, 1237, 1321, 1381, 1453, 1621, 1657, 1753, 1873, 1933, 1993, 2017, 2137, 2341, 2473, 2557, 2593, 2797, 2857, 2917, 3061

Offset: 1

Robert Dougherty-Bliss and N. J. A. Sloane, Jul 28 2021

nonn

Chai Wah Wu, Table of n, a(n) for n = 1..195

Cf. A344005, A346598, A346599, A346601.

max=0;Monitor[Do[g=(k=1;n=1;While[m=1;While[!Divisible[m(m+1),n],m++];m!=s,n++];n);If[g>max,Print@s;max=g],{s,3000}],s] (* Giorgos Kalogeropoulos, Jul 29 2021 *)

More terms from Chai Wah Wu, Jul 29 2021

cp's OEIS Frontend

A346598 a(n) is the number of terms in A344005 that are equal to n.

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