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 A094085 Denominator of (3*2^(n-1) - 1)*integral_{x=0 to 1/(4^n)}1-sqrt x dx. 2
 3, 96, 768, 6144, 49152, 393216, 3145728, 25165824, 201326592, 1610612736, 12884901888, 103079215104, 824633720832, 6597069766656, 52776558133248, 422212465065984, 3377699720527872, 27021597764222976, 216172782113783808 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS FORMULA a(n) = 12*8^(n-1) = 12*A001018 for n>1. EXAMPLE E.g., I(3)=11/768. The numerator is b(n) = 3*2^(n-1) - 1. E.g., b(3)=11. MATHEMATICA f[n_] := Denominator[(3*2^(n - 1) - 1)*Integrate[1 - Sqrt[x], {x, 0, 1/4^n}]]; Table[ f[n], {n, 19}] (* Robert G. Wilson v *) CROSSREFS Sequence in context: A322460 A249787 A264548 * A300424 A300686 A300609 Adjacent sequences:  A094082 A094083 A094084 * A094086 A094087 A094088 KEYWORD nonn,easy AUTHOR Al Hakanson (hawkuu(AT)excite.com), Apr 30 2004 EXTENSIONS Edited, corrected and extended by Robert G. Wilson v, May 08 2004 STATUS approved

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Last modified August 6 15:43 EDT 2020. Contains 336253 sequences. (Running on oeis4.)