%I #23 Mar 27 2017 19:41:17
%S 1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,17,19,21,22,23,25,26,27,28,29,31,
%T 33,34,35,37,39,41,43,45,46,47,49,51,53,55,57,59,61,63,65,67,69,71,73,
%U 75,77,79,81,83,85,87,89,91,93,95,97,99,101,103,105,107
%N Numbers that are not the sum of abundant numbers (not necessarily distinct).
%C a(496) = 991 is the last term.
%C Subsequence of A048242 (Numbers that are not the sum of two abundant numbers).
%C Giovanni Resta noticed that 991 is the largest number that is not a sum of abundant numbers.
%H Amiram Eldar, <a href="/A283550/b283550.txt">Table of n, a(n) for n = 1..496</a>
%H Giovanni Resta, <a href="http://www.numbersaplenty.com/set/abundant_number/">abundant numbers</a>
%e 20161 = 12 + 304 + 19845 is the sum of 3 abundant numbers and thus not in the sequence (although it is in A048242, since it is not the sum of 2 abundant numbers).
%t AbundantQ[n_] := DivisorSigma[1, n] > 2 n; a = Select[Range[1000], AbundantQ[#] &]; nn = Dimensions[a][[1]]; t = Rest[CoefficientList[ Series[Product[(1 + x^a[[k]]), {k, nn}], {x, 0, a[[1]]}], x]]; f = Flatten[Position[t, 0]]
%Y Cf. A271113, A048242, A005101.
%K nonn,fini,full
%O 1,2
%A _Amiram Eldar_, Mar 10 2017
