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Search: id:A061549
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| A061549 |
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Denominator 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
4
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| 1, 8, 128, 1024, 32768, 262144, 4194304, 33554432, 2147483648, 17179869184, 274877906944, 2199023255552, 70368744177664, 562949953421312, 9007199254740992, 72057594037927936, 9223372036854775808, 73786976294838206464, 1180591620717411303424, 9444732965739290427392
(list; graph; listen)
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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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LINKS
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Eric Weisstein's World of Mathematics, Circle Line Picking
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FORMULA
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a(n) = binomial(2*n-1/2, -1/2).
a(n) are denominators of coefficients of 1/(sqrt(1+x)-sqrt(1-x)) power series - Benoit Cloitre (benoit7848c(AT)orange.fr), Mar 12 2002
a(n)=16^n/A001316(n); - Paul Barry (pbarry(AT)wit.ie), Jun 29 2006
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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 denominator of this term is 8, which is the second term of the sequence.
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MAPLE
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seq(denom(binomial(2*n-1/2, -1/2)), n=1..20);
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CROSSREFS
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Cf. A061548.
Sequence in context: A034220 A034239 A093586 this_sequence A105094 A036294 A133680
Adjacent sequences: A061546 A061547 A061548 this_sequence A061550 A061551 A061552
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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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