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 A034797 a(0) = 0; a(n+1)=a(n)+2^a(n) 12
 0, 1, 3, 11, 2059 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS First impartial game with value n, using natural enumeration of impartial games. The natural 1-1 correspondence between nonnegative numbers and hereditarily finite sets is given by f(A)=sum over members m of A of 2^f(m). A set can be considered an impartial game where the legal moves are the members. The value of an impartial game is always an ordinal (for finite games, an integer). The next term, a(5) = 2^2059 + 2059, has 620 decimal digits and is too large to include. - Olivier Gérard, Jun 26 2001 Positions of records in A103318. - N. J. A. Sloane and David Applegate, Mar 21 2005 The first n terms in this sequence form the lexicographically earliest n-vertex clique in the Ackermann-Rado encoding of the Rado graph (an infinite graph in which vertex i is adjacent to vertex j, with i

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Last modified November 18 14:15 EST 2017. Contains 294893 sequences.