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A112470
Number of partitions of n which represent losing Chomp positions.
12
0, 1, 0, 1, 0, 3, 0, 3, 2, 5, 2, 3, 10, 9, 10, 9, 14, 17, 14, 23, 42, 45, 28, 55, 74, 67, 96, 107, 136, 177, 220, 241, 302, 315, 422, 421, 542, 641, 812, 877, 1022, 1221, 1490, 1655, 1970, 2173, 2754, 3117, 3542, 3993, 4976, 5485, 6508, 7477, 8758, 9859, 11530
OFFSET
0,6
LINKS
Timothy Herchen, Chomp analysis code, GitHub.
Wikipedia, Chomp
FORMULA
a(n) = A000041(n) - A112471(n).
EXAMPLE
a(9)=5 since the positions 5+4, 5+2+1+1, 5+1+1+1+1, 4+2+1+1+1 and 2+2+2+2+1 are losing positions.
CROSSREFS
Sequence in context: A016035 A340090 A297168 * A331924 A201582 A369881
KEYWORD
nonn
AUTHOR
Henry Bottomley, Sep 06 2005
EXTENSIONS
Extended beyond a(40) by Timothy Herchen, Nov 03 2021
STATUS
approved