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A077602 Decimal expansion of lim_{n->inf} M(n,1)/2^n, where M(n,1) is the sum of the coefficients of the n-th Moebius polynomial (cf. A074587).

%I A077602 #23 Mar 11 2018 13:17:47
%S A077602 1,5,3,0,1,9,1,4,1,4,0,1,6,5,4,9,1,8,7,1,5,4,3,6,2,3,6,1,4,9,2,6,3,3,
%T A077602 0,2,0,2,5,9,5,1,2,3,7,4,1,1,1,5,7,1,0,0,7,0,7,0,6,0,1,1,1,3,9,3,1,7,
%U A077602 5,3,5,5,9,5,7,1,3,7,3,1,1,3,9,8,8,1,2
%N A077602 Decimal expansion of lim_{n->inf} M(n,1)/2^n, where M(n,1) is the sum of the coefficients of the n-th Moebius polynomial (cf. A074587).
%C A077602 Conjecture: M(n,1) ~ A077596(n) * sqrt(Pi*n/2), where A077596(n) is the largest coefficient of the n-th Moebius polynomial, M(n,x).
%H A077602 G. C. Greubel, <a href="/A077602/b077602.txt">Table of n, a(n) for n = 1..1000</a>
%e A077602 1.530191414016549187154362361492633020259512374111571007070601113931753...
%t A077602 Clear[Moebius,f]; Moebius[n_, x_] := Moebius[n, x] = 1 + x*Sum[Moebius[k, x]*Floor[n/k], {k, 1, n-1}]; f[n_] := f[n] = RealDigits[Moebius[n, 1]/2^n, 10, 70] // First; f[n=100]; While[f[n] != f[n-100], n = n+100]; f[n] (* _Jean-François Alcover_, Feb 13 2013 *)
%Y A077602 Cf. A074586, A074587, A077596, A077598, A077599, A077600, A077601.
%K A077602 cons,nonn
%O A077602 1,2
%A A077602 _Benoit Cloitre_ and _Paul D. Hanna_, Nov 10 2002