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A046982
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Numerators of Taylor series for tan(x + Pi/4).
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3
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1, 2, 2, 8, 10, 64, 244, 2176, 554, 31744, 202084, 2830336, 2162212, 178946048, 1594887848, 30460116992, 7756604858, 839461371904, 9619518701764, 232711080902656, 59259390118004, 39611984424992768, 554790995145103208, 955693069653508096
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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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 = 23; 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]; Numerator[ 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. A046983.
a(n) = 2^k * A050970(n), for some k>=0 (conjectured).
Sequence in context: A029595 A202736 A179989 * A015620 A046690 A008828
Adjacent sequences: A046979 A046980 A046981 * A046983 A046984 A046985
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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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