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A046983
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Denominators of Taylor series for tan(x + Pi/4).
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4
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1, 1, 1, 3, 3, 15, 45, 315, 63, 2835, 14175, 155925, 93555, 6081075, 42567525, 638512875, 127702575, 10854718875, 97692469875, 1856156927625, 371231385525, 194896477400625, 2143861251406875, 2900518163668125, 2275791174570375
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OFFSET
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0,4
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REFERENCES
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G. W. Caunt, Infinitesimal Calculus, Oxford Univ. Press, 1914, p. 477.
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LINKS
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EXAMPLE
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1 + 2*x + 2*x^2 + (8/3)*x^3 + (10/3)*x^4 + (64/15)*x^5 + (244/45)*x^6 + ...
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MAPLE
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coeftayl(tan(x+Pi/4), x=0, n) ;
denom(%) ;
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MATHEMATICA
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nmax = 24; t[0, 1] = 1; t[0, _] = 0; t[n_, k_] := t[n, k] = (k-1)*t[n-1, k-1] + (k+1)*t[n-1, k+1]; Denominator[ Table[ Sum[ t[n, k]/n!, {k, 0, n+1}], {n, 0, nmax} ]] (* Jean-François Alcover, Nov 09 2011 *)
CoefficientList[Series[Tan[x+Pi/4], {x, 0, 30}], x]//Denominator (* Harvey P. Dale, Sep 05 2023 *)
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CROSSREFS
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KEYWORD
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nonn,frac,easy,nice
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AUTHOR
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STATUS
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approved
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