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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. G.f.: 105*x*(1+120*x+1191*x^2+2416*x^3+1191*x^4+120*x^5+x^6)/(x-1)^8 [From Maksym Voznyy (voznyy(AT)mail.ru), Jul 27 2009] EXAMPLE E.g. 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}] (from Robert G. Wilson v May 03 2004) CROSSREFS Sequence in context: A075914 A075924 A199353 * A018233 A199519 A082368 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 3 2004 STATUS approved

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