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A094506
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Numerator of I(n) = (-1) * Integral_{x=0..4^n} (1-x^(3/2)) dx.
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0
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44, 1968, 65216, 2095872, 67103744, 2147463168, 68719394816, 2199022927872, 70368742866944, 2251799808442368, 72057594016956416, 2305843009129807872, 73786976294502662144, 2361183241433480429568, 75557863725908954710016
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OFFSET
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1,1
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COMMENTS
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The denominator is always 5.
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LINKS
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FORMULA
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a(n) = -20 * 4^(n-1) + 64 * 2^(5*n-5) for n >= 1.
G.f.: 4*x*(11+96*x) / ( (32*x-1)*(4*x-1) ). - R. J. Mathar, Feb 04 2021
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MATHEMATICA
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f[n_] := (-Integrate[1 - x^(3/2), {x, 0, 4^n}])5; Table[ f[n], {n, 15}] (* Robert G. Wilson v, Sep 02 2004 *)
LinearRecurrence[{36, -128}, {44, 1968}, 20] (* Harvey P. Dale, Feb 10 2022 *)
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PROG
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(PARI) for(n=1, 15, print1(64*2^(5*n-5)-20*4^(n-1), ", "))
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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Al Hakanson (Hawkuu(AT)excite.com), Jun 05 2004
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EXTENSIONS
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STATUS
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approved
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