A116212 List of the positive divisors of each term of A116137.

1, 1, 2, 1, 3, 1, 5, 1, 2, 3, 6, 1, 3, 9, 1, 2, 5, 10, 1, 3, 5, 15, 1, 2, 4, 8, 16, 1, 2, 3, 6, 9, 18, 1, 3, 7, 21, 1, 3, 9, 27, 1, 2, 4, 7, 14, 28, 1, 31, 1, 2, 4, 5, 8, 10, 20, 40, 1, 41, 1, 43, 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1, 2, 29, 58, 1, 59, 1, 2, 31, 62, 1, 67, 1, 2, 41, 82, 1, 83, 1, 5

Offset

1,3

Links

John Tyler Rascoe, Table of n, a(n) for n = 1..10000

Formula

a(n) = A116137(n) - A116137(n-1).

Example

A116137 begins 1,2,3,5,6,9,... So this sequence begins: 1; 1,2; 1,3; 1,5; 1,2,3,6; 1,3,9;...

Prog

(Python)
from sympy import divisors
def A116212_list(max_n):
    A116137, A116212, n = [1], [], 0
    while len(A116212) < max_n:
        A116212.extend(divisors(A116137[-1]))
        A116137.append(A116137[-1]+A116212[n])
        n += 1
    return(A116212[:max_n]) # John Tyler Rascoe, Nov 18 2023

Crossrefs

Cf. A116137.

Sequence in context: A354366 A101387 A117365 * A079068 A133021 A131208

Adjacent sequences: A116209 A116210 A116211 * A116213 A116214 A116215

Keyword

nonn

Author

Leroy Quet, Apr 16 2007

Extensions

More terms from R. J. Mathar, Jan 30 2008

Edited by Charles R Greathouse IV, Apr 29 2010

Edited by John Tyler Rascoe, Nov 19 2023

Status

approved