A112470 Number of partitions of n which represent losing Chomp positions.

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, Table of n, a(n) for n = 0..129

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

Cf. A000041, A112471.

Sequence in context: A016035 A340090 A297168 * A331924 A201582 A369881

Adjacent sequences: A112467 A112468 A112469 * A112471 A112472 A112473

Keyword

nonn

Author

Henry Bottomley, Sep 06 2005

Extensions

Extended beyond a(40) by Timothy Herchen, Nov 03 2021

Status

approved