a(n)/2^(n-1) is the expected win if one of two baskets is chosen randomly and the player optimally chooses the coins with values from 1 to n (see Comments for details).

A391791

a(n)/2^(n-1) is the expected win if one of two baskets is chosen randomly and the player optimally chooses the coins with values from 1 to n (see Comments for details).

Terms

    a(0) =1a(1) =5a(2) =20a(3) =65a(4) =190a(5) =530a(6) =1407a(7) =3585a(8) =8942a(9) =21819a(10) =52204a(11) =123190a(12) =287044a(13) =661329a(14) =1509949a(15) =3420580a(16) =7688444a(17) =17173896a(18) =38143782a(19) =84262365a(20) =185278522a(21) =405700861

External references