cp's OEIS Frontend

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

%I A047995 #47 Dec 20 2024 09:37:52
%S A047995 1,2,3,5,22,4171780
%N A047995 Number of impartial misere games born on or before day n.
%C A047995 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").
%C A047995 "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.
%C A047995 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
%D A047995 J. H. Conway, On Numbers and Games, pp. 139-140.
%D A047995 Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, 2003, Section 6.11.1, p. 451.
%D A047995 Aaron N. Siegel, Combinatorial Game Theory, AMS Graduate Texts in Mathematics Vol 146 (2013), p. 248.
%H A047995 Steven Finch, <a href="https://doi.org/10.1007/s00283-021-10060-2">The On-Line Encyclopedia of Integer Sequences, founded in 1964 by N. J. A. Sloane</a>, A Tribute to John Horton Conway, The Mathematical Intelligencer (2021) Vol. 43, 146-147.
%H A047995 Chris Thompson, <a href="https://groups.google.com/d/msg/sci.math/IrjOWJ5PrwI/m9hGuvYCmUoJ">Count of day 6 misere-inequivalent impartial games</a>, Usenet article, February 1999.
%H A047995 Wikipedia, <a href="http://en.wikipedia.org/wiki/Mis%C3%A8re#Mis.C3.A8re_game">Misère: Misère game</a>.
%Y A047995 Cf. A037142.
%K A047995 nice,nonn
%O A047995 0,2
%A A047995 _N. J. A. Sloane_