Cardinalities of the sets of fusible numbers obtained at the consecutive steps of their construction as follows. We set S(0) = {0}. S(n+1) is obtained by adding to S(n) the sums (x+y+1)/2 for all x,y from S(n) with the property |x-y| < 1. Then, a(n) is the number of elements in S(n).

A343264

Cardinalities of the sets of fusible numbers obtained at the consecutive steps of their construction as follows. We set S(0) = {0}. S(n+1) is obtained by adding to S(n) the sums (x+y+1)/2 for all x,y from S(n) with the property |x-y| < 1. Then, a(n) is the number of elements in S(n).

Terms

    a(0) =1a(1) =2a(2) =4a(3) =9a(4) =21a(5) =50a(6) =119a(7) =281a(8) =656a(9) =1513a(10) =3449a(11) =7777a(12) =17363a(13) =38422a(14) =84355a(15) =183915a(16) =398526a(17) =858901

External references