A346600 -id:A346600 - 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

A346601 Record values in A346599.

Original entry on oeis.org

1, 3, 4, 5, 15, 45, 91, 187, 703, 1891, 2701, 3337, 12403, 18721, 38503, 49141, 79003, 88831, 104653, 146611, 188191, 218791, 226801, 269011, 286903, 385003, 497503, 597871, 665281, 721801, 736291, 765703, 873181, 954271, 1056331, 1314631, 1373653, 1537381, 1755001

Offset: 1

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

nonn

These are the values of m (see A344005) that take a record number of steps to appear. See A346600 for their indices.

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

max=0;lst={};Do[g=(k=1;n=1;While[m=1;While[!Divisible[m(m+1),n],m++];m!=i,n++];n);If[g>max,AppendTo[lst,n];max=g],{i,100}];lst (* 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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