OFFSET
0,1
REFERENCES
J. H. Conway and R. K. Guy, “Sets of Natural Numbers with Distinct Sums,” Notices Amer. Math. Soc., vol. 15, 1968.
Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 2.28, p. 189.
LINKS
W. F. Lunnon, Integer sets with distinct subset-sums, Math. Comp. 50 (1988), 297-320.
EXAMPLE
0.23512528481117486563558817439187900988...
MATHEMATICA
digits = 100; Clear[v, s]; v[n_] := v[n] = 2*v[n-1] - v[n-1 - Floor[1/2 + Sqrt[2*(n-1)]]]; v[0] = 0; v[1] = 1; s[k_] := s[k] = v[k]/2^k // N[#, digits + 5] &; s[dk = 250]; s[k = 2*dk]; While[RealDigits[s[k], 10, digits] != RealDigits[s[k - dk], 10, digits], Print["k = ", k]; k = k + dk]; RealDigits[s[k], 10, digits] // First
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Jean-François Alcover, May 21 2014
STATUS
approved