a(n)/ceiling(6^(n-7)) is the expected number of rolls of a fair 6-sided die in a game where the player starts at 0, advances the position by the outcome of the die's roll until exactly position n is reached. Positions beyond n are avoided by staying at the last visited position, but counting the rolls.
A331944
a(n)/ceiling(6^(n-7)) is the expected number of rolls of a fair 6-sided die in a game where the player starts at 0, advances the position by the outcome of the die's roll until exactly position n is reached. Positions beyond n are avoided by staying at the last visited position, but counting the rolls.
Terms
- a(0) =6a(1) =6a(2) =6a(3) =6a(4) =6a(5) =6a(6) =7a(7) =43a(8) =265a(9) =1639a(10) =10177a(11) =63463a(12) =397585a(13) =2456503a(14) =15189313a(15) =93961351a(16) =581260273a(17) =3594003799a(18) =22197096865a(19) =136829952295a(20) =843199062097
External references
- oeis: A331944