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Table T(n,k) = number of strictly increasing addition chains of length n whose final value is k.
0

%I #2 Mar 31 2012 13:21:30

%S 1,0,1,0,0,1,1,0,0,0,1,2,2,0,1,0,0,0,0,1,3,5,5,3,4,0,3,0,0,0,1,0,0,0,

%T 0,0,1,4,9,14,17,15,17,10,14,4,10,2,7,0,6,0,0,0,4,0,0,0,0,0,0,0,1,0,0,

%U 0,0,0,0,1,5,14,28,45,60,67,78,66,81,51,73,33,65,29,40,4,47,14,24,5,23,0,12

%N Table T(n,k) = number of strictly increasing addition chains of length n whose final value is k.

%C Row n has 2^(n-1) entries (starting with n-1 zeros).

%e Table starts:

%e 1,

%e 0,1,

%e 0,0,1,1,

%e 0,0,0,1,2,2,0,1,

%e 0,0,0,0,1,3,5,5,3,4,0,3,0,0,0,1,

%Y Row sums A008933, column sums A008928.

%K nonn,tabl

%O 1,12

%A _Franklin T. Adams-Watters_, Mar 22 2006