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A046983
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Denominators of Taylor series for tan(x + Pi/4).
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9
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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
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,4
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REFERENCES
| G. W. Caunt, Infinitesimal Calculus, Oxford Univ. Press, 1914, p. 477.
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LINKS
| T. D. Noe, Table of n, a(n) for n=0..100
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EXAMPLE
| 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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MATHEMATICA
| 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} ]] (* From Jean-François Alcover, Nov 09 2011 *)
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CROSSREFS
| Cf. A046982.
Sequence in context: A171379 A078631 A160639 * A067655 A160624 A049606
Adjacent sequences: A046980 A046981 A046982 * A046984 A046985 A046986
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KEYWORD
| nonn,frac,easy,nice
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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