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Search: id:A061548
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| A061548 |
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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. |
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+0
5
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| 1, 3, 35, 231, 6435, 46189, 676039, 5014575, 300540195, 2268783825, 34461632205, 263012370465, 8061900920775, 61989816618513, 956086325095055, 7391536347803839, 916312070471295267, 7113260368810144185, 110628135069209194801, 861577581086657669325, 26876802183334044115405
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OFFSET
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0,2
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REFERENCES
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Kozelka, Robert M. "Grade Point Averages and the Central Limit Theorem." American Mathematical Monthly. Nov. 1979 (86:9) pp. 773-7.
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FORMULA
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a(n) = binomial(2*n-1/2, -1/2).
Contribution from Johannes W. Meijer (meijgia(AT)hotmail.com), Jul 06 2009: (Start)
a(n) = numer((4*n)!/(2^(4*n)*(2*n)!^2))
(End)
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EXAMPLE
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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.
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MAPLE
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seq(numer(binomial(2*n-1/2, -1/2)), n=1..20);
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CROSSREFS
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Cf. A061549. Bisection of A001790.
Contribution from Johannes W. Meijer (meijgia(AT)hotmail.com), Jul 06 2009: (Start)
Equals 2*A001448(n)/ A117973(n)
(End)
Sequence in context: A076376 A133710 A130061 this_sequence A019273 A069448 A121078
Adjacent sequences: A061545 A061546 A061547 this_sequence A061549 A061550 A061551
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KEYWORD
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nonn,frac,easy
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AUTHOR
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Leah Schmelzer (leah2002(AT)mit.edu), May 16 2001
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EXTENSIONS
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More terms from Asher Auel (asher.auel(AT)reed.edu), May 20 2001
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