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Search: id:A008294
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| A008294 |
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Triangle of coefficients in expansion of D^n (sec x) / sec x in powers of tan x. |
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+0
4
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| 1, 1, 1, 2, 5, 6, 5, 28, 24, 61, 180, 120, 61, 662, 1320, 720, 1385, 7266, 10920, 5040, 1385, 24568, 83664, 100800, 40320, 50521, 408360, 1023120, 1028160, 362880, 50521, 1326122, 6749040, 13335840, 11491200, 3628800, 2702765, 30974526, 113760240
(list; table; graph; listen)
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OFFSET
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0,4
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REFERENCES
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Haigh, Gordon; A "natural" approach to Pick's theorem. Math. Gaz. 64 (1980), no. 429, 173-180.
Knuth, D. E.; Buckholtz, Thomas J. Computation of tangent, Euler and Bernoulli numbers. Math. Comp. 21 1967 663-688.
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FORMULA
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a(0, k)=delta(0, k); a(n+1, k)=k*a(n, k-1)+(k+1)a(n, k+1).
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CROSSREFS
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Cf. A008293. See A104 035 for another version.
Sequence in context: A103989 A161017 A155947 this_sequence A019694 A113975 A035585
Adjacent sequences: A008291 A008292 A008293 this_sequence A008295 A008296 A008297
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KEYWORD
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easy,nonn,tabl,nice
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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