%I A000000
%S A000000 1,1,1,1,2,2,5,1,3,4,15,3,10,14,4,1,2,7,33,6,29,40,4,4,14,24,5,23,132,12,77,
%T A000000 1,2,4,43,12,39,92,20,8,23,84,4,69,14,8,220,5,12,36,4,38,205,16,156,32,173
%N A000000 Number of minimal addition chains for n.
%e A000000 7 has a(7) = 5 minimal addition chains: (1,2,3,4,7), (1,2,3,5,7), (1,2,3,6,7), (1,2,4,5,7), (1,2,4,6,7).
%H A000000 E. W. Weisstein, Link to a section of The World of Mathematics.
%Y A000000 Cf. A000001, A000002
%K A000000 nonn
%O A000000 1,5
%A A000000 David W Wilson (davidwwilson@attbi.com)
%I A000001
%S A000001 1,1,1,1,2,2,5,1,3,4,15,3,9,14,4,1,2,7,31,6,26,40,4,4,13,22,5,23,114,12,64,
%T A000001 1,2,4,43,12,33,87,18,8,20,78,4,69,14,8,183,5,11,34,4,35,171,16,139,32,148
%N A000001 Number of minimal Brauer chains for n.
%C A000001 In a general addition chain, each element > 1 is a sum of two previous elements. In a Brauer chain, each element > 1 is a sum of the immediately previous element and another previous element.
%e A000001 7 has a(7) = 5 minimal Brauer chains: (1,2,3,4,7), (1,2,3,5,7), (1,2,3,6,7), (1,2,4,5,7), (1,2,4,6,7).
%H A000001 E. W. Weisstein, Link to a section of The World of Mathematics.
%Y A000000 Cf. A000000, A000002
%K A000001 nonn
%O A000001 1,5
%A A000001 David W Wilson (davidwwilson@attbi.com)
%I A000002
%S A000002 0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,3,0,0,0,1,2,0,0,18,0,13,0,0,0,
%T A000002 0,0,6,5,2,0,3,6,0,0,0,0,37,0,1,2,0,3,34,0,17,0,25
%N A000002 Number of minimal non-Brauer chains for n.
%C A000002 In a general addition chain, each element > 1 is a sum of two previous elements. In a Brauer chain, each element > 1 is a sum of the immediately previous element and another previous element.
%e A000002 13 has a(13) = 1 minimal non-Brauer chain: (1,2,4,5,8,13).
%H A000002 E. W. Weisstein, Link to a section of The World of Mathematics.
%Y A000000 Cf. A000000, A000001
%K A000002 nonn
%O A000002 1,19
%A A000002 David W Wilson (davidwwilson@attbi.com)