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Search: id:A008293
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| A008293 |
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Triangle of coefficients in expansion of D^n (tan x) in powers of tan x. |
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+0
4
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| 1, 1, 1, 1, 2, 2, 2, 8, 6, 16, 40, 24, 16, 136, 240, 120, 272, 1232, 1680, 720, 272, 3968, 12096, 13440, 5040, 7936, 56320, 129024, 120960, 40320, 7936, 176896, 814080, 1491840, 1209600, 362880, 353792, 3610112, 12207360, 18627840, 13305600
(list; table; graph; listen)
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OFFSET
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0,5
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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. and Buckholtz, Thomas J., Computation of tangent, Euler and Bernoulli numbers. Math. Comp. 21 1967 663-688.
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LINKS
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M.-P. Grosset and A. P. Veselov, Bernoulli numbers and solitons
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FORMULA
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a(0, k)=delta(1, k); a(n+1, k)=(k-1)a(n, k-1)+(k+1)a(n, k+1).
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CROSSREFS
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Cf. A008294. Other versions of same triangle: A101343, A155100.
Sequence in context: A011202 A085484 A116585 this_sequence A011140 A068718 A075097
Adjacent sequences: A008290 A008291 A008292 this_sequence A008294 A008295 A008296
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KEYWORD
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nonn,tabl,easy,nice
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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