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A112471
Number of partitions of n which represent first player winning Chomp positions.
24
1, 0, 2, 2, 5, 4, 11, 12, 20, 25, 40, 53, 67, 92, 125, 167, 217, 280, 371, 467, 585, 747, 974, 1200, 1501, 1891, 2340, 2903, 3582, 4388, 5384, 6601, 8047, 9828, 11888, 14462, 17435, 20996, 25203, 30308, 36316
OFFSET
0,3
FORMULA
a(n) =A000041(n)-A112470(n) =A112472(n)+A112473(n)
EXAMPLE
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.
CROSSREFS
Sequence in context: A238624 A124506 A264687 * A144366 A054156 A238834
KEYWORD
nonn
AUTHOR
Henry Bottomley, Sep 06 2005
STATUS
approved