Search: id:A061548
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%I A061548
%S A061548 1,3,35,231,6435,46189,676039,5014575,300540195,2268783825,34461632205,
               263012370465,
%T A061548 8061900920775,61989816618513,956086325095055,7391536347803839,916312070471295267,
%U A061548 7113260368810144185,110628135069209194801,861577581086657669325,26876802183334044115405
%N A061548 Numerator of probability that there is no error when average of n numbers 
               is computed, assuming errors of +1, -1 are possible and they each 
               occur with p=1/4.
%D A061548 Kozelka, Robert M. "Grade Point Averages and the Central Limit Theorem." 
               American Mathematical Monthly. Nov. 1979 (86:9) pp. 773-7.
%F A061548 a(n) = binomial(2*n-1/2, -1/2).
%F A061548 Contribution from Johannes W. Meijer (meijgia(AT)hotmail.com), Jul 06 
               2009: (Start)
%F A061548 a(n) = numer((4*n)!/(2^(4*n)*(2*n)!^2))
%F A061548 (End)
%e A061548 For n=1, the binomial(2*n-1/2, -1/2) yields the term 3/8. The numerator 
               of this term is 3, which is the second term of the sequence.
%p A061548 seq(numer(binomial(2*n-1/2, -1/2)), n=1..20);
%Y A061548 Cf. A061549. Bisection of A001790.
%Y A061548 Contribution from Johannes W. Meijer (meijgia(AT)hotmail.com), Jul 06 
               2009: (Start)
%Y A061548 Equals 2*A001448(n)/ A117973(n)
%Y A061548 (End)
%Y A061548 Sequence in context: A076376 A133710 A130061 this_sequence A019273 A069448 
               A121078
%Y A061548 Adjacent sequences: A061545 A061546 A061547 this_sequence A061549 A061550 
               A061551
%K A061548 nonn,frac,easy
%O A061548 0,2
%A A061548 Leah Schmelzer (leah2002(AT)mit.edu), May 16 2001
%E A061548 More terms from Asher Auel (asher.auel(AT)reed.edu), May 20 2001

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