Search: id:A077596
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%I A077596
%S A077596 1,2,4,8,15,30,57,108,206,393,752,1439,2772,5334,10327,19967,38808,
%T A077596 75319,146844,285862,558723,1090370,2135551,4176224,8193490,16050930,
%U A077596 31537017,61872863,121721157,239115024,470918888,926141652,1825708221
%N A077596 Central coefficients of Moebius polynomials (A074586): coefficient of 
               x^(n/2-1/2) if n is odd; coefficient of x^(n/2-1) if n is even and 
               >4. The n-th Moebius polynomial, M(n,x), satisfies M(n,-1)=mu(n) 
               the Moebius function of n.
%C A077596 These terms seem to be asymptotic to c*2^n/sqrt(n) with c=1.2208..
%e A077596 These are the largest coefficients of the Moebius polynomials, which 
               begin: M(1,x)=1; M(2,x)=1 + 2x; M(3,x)=1 + 4x + 2x^2; M(4,x)=1 + 
               7x + 8x^2 + 2x^3; M(5,x)=1 + 9x +15x^2 +10x^3 + 2x^4; M(6,x)=1 +13x 
               +30x^2 +27x^3 +12x^4 + 2x^5; M(7,x)=1 +15x +43x^2 +57x^3 +39x^4 +14x^5 
               + 2x^6; M(8,x)=1 +19x +67x^2+108x^3 +98x^4 +53x^5 +16x^6 + 2x^7.
%Y A077596 Cf. A074586, A074587, A077597, A077598, A077599, A077600, A077601.
%Y A077596 Sequence in context: A034338 A166861 A026023 this_sequence A091865 A065494 
               A134044
%Y A077596 Adjacent sequences: A077593 A077594 A077595 this_sequence A077597 A077598 
               A077599
%K A077596 nonn
%O A077596 1,2
%A A077596 Benoit Cloitre (benoit7848c(AT)orange.fr) and Paul D. Hanna (pauldhanna(AT)juno.com), 
               Nov 10 2002

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