A112472 - OEIS

%I #5 Apr 29 2022 04:29:18

%S 0,2,2,5,4,10,10,18,21,28,44,56,70,85,115,150,185,250,317,384,472,589,

%T 757,931,1139,1416,1708,2129,2565,3082,3690,4449,5325,6392,7625,9255,

%U 10951,12897,15216,18172

%N Number of partitions of n which represent first player winning Chomp positions with unique winning moves.

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Chomp">Chomp</a>

%F a(n) =A112471(n)-A112473(n)

%e a(6)=10 since the moves 6 to 1, 5+1 to 2+1, 4+2 to 3+2, 4+1+1 to 3+1+1, 3+3 to 3+2, 3+1+1+1 to 3+1+1, 2+2+2 to 2+2+1, 2+2+1+1 to 2+2+1, 2+1+1+1+1 to 2+1 and 1+1+1+1+1+1 to 1, are unique winning moves from those positions.

%K nonn

%O 1,2

%A _Henry Bottomley_, Sep 06 2005