A205744 The sequence "u_{n-r}" used by Conway and Guy in the construction of A005318 and A096858.

0, 0, 1, 1, 2, 4, 4, 7, 13, 24, 24, 44, 84, 161, 309, 309, 594, 1164, 2284, 4484, 8807, 8807, 17305, 34301, 68008, 134852, 267420, 530356, 530356, 1051905, 2095003, 4172701, 8311101, 16554194, 32973536, 65679652, 65679652, 130828948, 261127540, 521203175, 1040311347, 2076449993

Offset: 1

Author

N. J. A. Sloane, Feb 09 2012

Keywords

• nonn

Comments

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

Links

• R. K. Guy, Sets of integers whose subsets have distinct sums, 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).

Crossrefs

Cf. A005318, A096858.

Formula

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