A047995 Number of impartial misere games born on or before day n.

1, 2, 3, 5, 22, 4171780

Offset: 0

Author

N. J. A. Sloane

Keywords

• nice
• nonn

Comments

Next term = 2^4171780 - 2^2096640 - 2^2095104 - 2^2094593 - 2^2094080 - 3.2^2091522 - 2^2088960 - 2^2088705 - 2^2088448 - 2^2088193 - 2^2086912 - 2^2086657 - 2^2086401 - 2^2086145 - 2^2085888 - 2^2079234 + 2^1960962 + 21 (Christopher E. Thompson, who remarks that this term is given incorrectly in "On Numbers and Games").

"On Numbers and Games" incorrectly states that the next term is 2^4171780 - 2^2095104 - 3*2^2094593 - 2^2094081 - 3*2^2091522 - 2^2088960 - 3*2^2088448 - 2^2087937 - 2^2086912 - 2^2086657 - 2^2086401 - 2^2086145 - 2^2085888 - 2^2079234 + 2^1960962 + 21.

Aaron Siegel reports (see references) that he and Dan Hoey jointly verified the revised value of the Next term [i.e., a(6)] above. - Christopher E. Thompson, Oct 21 2015

References

• J. H. Conway, On Numbers and Games, pp. 139-140.
• Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, 2003, Section 6.11.1, p. 451.
• Aaron N. Siegel, Combinatorial Game Theory, AMS Graduate Texts in Mathematics Vol 146 (2013), p. 248.

Links

• Steven Finch, The On-Line Encyclopedia of Integer Sequences, founded in 1964 by N. J. A. Sloane, A Tribute to John Horton Conway, The Mathematical Intelligencer (2021) Vol. 43, 146-147.
• Chris Thompson, Count of day 6 misere-inequivalent impartial games, Usenet article, February 1999.
• Wikipedia, Misère: Misère game.

Crossrefs

Cf. A037142.