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A112471 Number of partitions of n which represent first player winning Chomp positions. 24

%I #5 Apr 29 2022 04:28:56

%S 1,0,2,2,5,4,11,12,20,25,40,53,67,92,125,167,217,280,371,467,585,747,

%T 974,1200,1501,1891,2340,2903,3582,4388,5384,6601,8047,9828,11888,

%U 14462,17435,20996,25203,30308,36316

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

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

%F a(n) =A000041(n)-A112470(n) =A112472(n)+A112473(n)

%e a(6)=11 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+2+1 to 3+2 or to 3+1+1 or to 2+2+1, 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 winning moves.

%K nonn

%O 0,3

%A _Henry Bottomley_, Sep 06 2005

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Last modified April 25 04:42 EDT 2024. Contains 371964 sequences. (Running on oeis4.)