cp's OEIS Frontend

A242022 Decimal expansion of the asymptotic growth rate of the number of odd coefficients in Pascal quintinomial triangle mod 2.

%I A242022 #10 Jun 11 2024 08:26:23
%S A242022 7,8,9,6,4,1,8,5,0,5,3,0,7,6,8,5,6,3,9,0,1,5,4,7,2,6,7,0,6,6,4,1,4,0,
%T A242022 1,8,9,9,0,8,2,9,5,5,3,5,9,2,6,8,3,8,9,3,5,2,3,6,5,3,8,7,9,4,6,2,2,3,
%U A242022 6,9,5,8,7,4,9,0,3,0,1,9,3,4,9,7,8,8,9,0,8,4,0,7,7,8,4,2,9,4,4,6
%N A242022 Decimal expansion of the asymptotic growth rate of the number of odd coefficients in Pascal quintinomial triangle mod 2.
%H A242022 Steven Finch, Pascal Sebah and Zai-Qiao Bai, <a href="http://arXiv.org/abs/0802.2654">Odd Entries in Pascal's Trinomial Triangle</a> (arXiv:0802.2654) p. 10.
%F A242022 log(abs(mu))/log(2) - 1, where mu = 3.4572905... is the root of x^4 - x^3 - 6*x^2 - 4*x - 16 with maximum modulus.
%e A242022 0.7896418505307685639015472670664140189908295535926838935...
%t A242022 mu = Sort[Table[Root[x^4 - x^3 - 6*x^2 - 4*x - 16, x, n], {n, 1, 4}], N[Abs[#1]] < N[Abs[#2]] &] // Last; RealDigits[Log[mu]/Log[2] - 1, 10, 100] // First
%Y A242022 Cf. A242021.
%K A242022 nonn,cons,easy
%O A242022 0,1
%A A242022 _Jean-François Alcover_, Aug 11 2014