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The sequence "u_{n-r}" used by Conway and Guy in the construction of A005318 and A096858.
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%I #29 Aug 04 2022 23:33:39

%S 0,0,1,1,2,4,4,7,13,24,24,44,84,161,309,309,594,1164,2284,4484,8807,

%T 8807,17305,34301,68008,134852,267420,530356,530356,1051905,2095003,

%U 4172701,8311101,16554194,32973536,65679652,65679652,130828948,261127540,521203175,1040311347,2076449993

%N The sequence "u_{n-r}" used by Conway and Guy in the construction of A005318 and A096858.

%C This is A005318 with the terms A005318(i) repeated iff i is a triangular number.

%H R. K. Guy, <a href="http://dx.doi.org/10.1016/S0304-0208(08)73500-X">Sets of integers whose subsets have distinct sums</a>, pp. 141-154 of Theory and practice of combinatorics. Ed. A. Rosa, G. Sabidussi and J. Turgeon. Annals of Discrete Mathematics, 12. North-Holland 1982. See Table 1, column (3).

%F A005318(n+1) = 2*A005318(n)-A205744(n), A205744(n) = A005318(A083920(n)), A083920(n) = n - A002024(n). - _N. J. A. Sloane_, Feb 11 2012

%Y Cf. A005318, A096858.

%K nonn

%O 1,5

%A _N. J. A. Sloane_, Feb 09 2012