A116212 - OEIS

%I #26 Nov 26 2023 08:38:24

%S 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,

%T 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,

%U 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

%N List of the positive divisors of each term of A116137.

%H John Tyler Rascoe, <a href="/A116212/b116212.txt">Table of n, a(n) for n = 1..10000</a>

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

%e 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;...

%o (Python)

%o from sympy import divisors

%o def A116212_list(max_n):

%o     A116137,A116212,n = [1],[],0

%o     while len(A116212) < max_n:

%o         A116212.extend(divisors(A116137[-1]))

%o         A116137.append(A116137[-1]+A116212[n])

%o         n += 1

%o     return(A116212[:max_n]) # _John Tyler Rascoe_, Nov 18 2023

%Y Cf. A116137.

%K nonn

%O 1,3

%A _Leroy Quet_, Apr 16 2007

%E More terms from _R. J. Mathar_, Jan 30 2008

%E Edited by _Charles R Greathouse IV_, Apr 29 2010

%E Edited by _John Tyler Rascoe_, Nov 19 2023