%I #39 Dec 21 2023 02:11:04
%S 1,2,3,5,6,9,10,15,16,18,21,27,28,31,40,41,43,48,58,59,62,67,82,83,85,
%T 89,97,113,114,116,119,125,134,152,153,156,163,184,185,188,197,224,
%U 225,227,231,238,252,280,281,312,313,315,319,324,332,342,362,402,403,444
%N a(0) = 1 and a(n) = a(n-1) + A116212(n), where A116212 is the list of the positive divisors of each term of this sequence.
%H John Tyler Rascoe, <a href="/A116137/b116137.txt">Table of n, a(n) for n = 0..10000</a>
%e a(11) = a(10) + A116212(11).
%e A116212 begins: 1;1,2;1,3;1,5;1,2,3,6;1,3,9;...
%e So a(11) = 21 + 6 = 27.
%o (Python)
%o from sympy import divisors
%o def A116137_list(max_n):
%o A,z = [1],0
%o while len(A) <= max_n:
%o A.extend((A[-1]+d) for d in divisors(A[z])); z += 1
%o return(A[:max_n+1]) # _John Tyler Rascoe_, Nov 26 2023
%Y Cf. A116212.
%K nonn,easy
%O 0,2
%A _Leroy Quet_, Apr 08 2007
%E More terms from _R. J. Mathar_, Aug 31 2007
%E Edited by _John Tyler Rascoe_, Nov 26 2023