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 A094075 Denominator of I(n)=integral_{x=0 to 1/n}(x^2-1)^3 dx. 0
 105, 13440, 229635, 1720320, 8203125, 29393280, 86472015, 220200960, 502211745, 1050000000, 2046152955, 3762339840, 6588594285, 11068417920, 17940234375, 28185722880, 43085560665, 64283103360, 93856532595, 134400000000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS The numerator is b(n) = -105*n^6+105*n4-63*n^2+15. E.g., b(3) = -68392. LINKS FORMULA a(n) = 105*n^7 = 105*A001015(n). G.f.: 105*x*(1+120*x+1191*x^2+2416*x^3+1191*x^4+120*x^5+x^6)/(x-1)^8. - Maksym Voznyy (voznyy(AT)mail.ru), Jul 27 2009 EXAMPLE I(3) = -68592/229635. MATHEMATICA f[n_] := Integrate[(x^2 - 1)^3, {x, 0, 1/n}]; Table[(-105n^6 + 105n^4 - 63n^2 + 15)/f[n], {n, 20}] (* Robert G. Wilson v, May 03 2004 *) CROSSREFS Sequence in context: A263888 A269474 A255497 * A199519 A082368 A001546 Adjacent sequences:  A094072 A094073 A094074 * A094076 A094077 A094078 KEYWORD nonn,easy AUTHOR Al Hakanson (hawkuu(AT)excite.com), Apr 29 2004 EXTENSIONS G.f. proposed by Maksym Voznyy checked and corrected by R. J. Mathar, Sep 16 2009 More terms from Robert G. Wilson v, May 03 2004 STATUS approved

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Last modified May 21 17:51 EDT 2022. Contains 353921 sequences. (Running on oeis4.)