Search: id:A112093
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%I A112093
%S A112093 0,3,13,197,1105,9211,130277,82987349,331950131,16929464521,29241805241,
%T A112093 3538258509761,6259995854281,1057939300471201,1057939300716589,51133732870640471,
%U A112093 372975463296151087,107789908892879155343,51058377896658637853,681986753565766904623961
%N A112093 Numerator of 3*Sum_{i=1..n} 1/(i^2*C(2*i,i)).
%D A112093 C. Elsner, On recurrence formulae for sums involving binomial coefficients, 
               Fib. Q., 43 (No. 1, 2005), 31-45.
%F A112093 3*Sum_{i=1..infinity} 1/(i^2*C(2*i, i)) = zeta(2) = Pi^2/6.
%p A112093 0, 3/2, 13/8, 197/120, 1105/672, 9211/5600, 130277/79200, 82987349/50450400, 
               ... -> Pi^2/6.
%Y A112093 Cf. A112094.
%Y A112093 Sequence in context: A002065 A087601 A145503 this_sequence A085010 A165903 
               A100441
%Y A112093 Adjacent sequences: A112090 A112091 A112092 this_sequence A112094 A112095 
               A112096
%K A112093 nonn,frac
%O A112093 0,2
%A A112093 N. J. A. Sloane (njas(AT)research.att.com), Nov 30 2005

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