%I A161993
%S A161993 1,3,8,19,43,85,171,315,580,1022,1766,2982,4959
%N A161993 A006005 (odd primes plus 1) convolved with all of its regularly "aerated" 
               variants.
%C A161993 Refer to A161779 for the analogous sequence based on the factorials.
%F A161993 Given A006005 (odd primes plus 1 = odd non-composite numbers) = a, then 
               b
%F A161993 = the aerated variant: (1, 0, 3, 0, 5, 0, 7,...); c = (1, 0, 0, 3, 0, 
               0, 5,...)
%F A161993 and so on such that A161993 = the infinite convolution product: a*b*c*...
%Y A161993 A006005, A161779
%Y A161993 Sequence in context: A079583 A099050 A065352 this_sequence A008466 A102712 
               A054480
%Y A161993 Adjacent sequences: A161990 A161991 A161992 this_sequence A161994 A161995 
               A161996
%K A161993 nonn
%O A161993 1,2
%A A161993 Gary W. Adamson (qntmpkt(AT)yahoo.com), Jun 24 2009