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Search: id:A094085
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| A094085 |
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Denominator of (3*2^(n-1) - 1)*integral_{x=0 to 1/(4^n)}1-sqrt x dx. |
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+0
1
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| 3, 96, 768, 6144, 49152, 393216, 3145728, 25165824, 201326592, 1610612736, 12884901888, 103079215104, 824633720832, 6597069766656, 52776558133248, 422212465065984, 3377699720527872, 27021597764222976, 216172782113783808
(list; graph; listen)
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OFFSET
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1,1
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FORMULA
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a(n)=12*8^(n-1) = 12*A001018 for n>1.
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EXAMPLE
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E.g. I(3)=11/768. The numerator is b(n)=3*2^(n-1)-1. E.g. b(3)=11.
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MATHEMATICA
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f[n_] := Denominator[(3*2^(n - 1) - 1)*Integrate[1 - Sqrt[x], {x, 0, 1/4^n}]]; Table[ f[n], {n, 19}] (from Robert G. Wilson v)
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CROSSREFS
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Sequence in context: A037113 A142887 A093009 this_sequence A030262 A107173 A100494
Adjacent sequences: A094082 A094083 A094084 this_sequence A094086 A094087 A094088
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KEYWORD
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nonn,easy
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AUTHOR
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Al Hakanson (hawkuu(AT)excite.com), Apr 30 2004
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EXTENSIONS
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Edited, corrected and extended by Robert G. Wilson v (rgwv(AT)rgwv.com), May 08 2004
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