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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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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; refs; listen; history; internal format)
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OFFSET
| 0,5
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REFERENCES
| 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
| M.-P. Grosset and A. P. Veselov, Bernoulli numbers and solitons
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FORMULA
| 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
| Cf. A008294. Other versions of same triangle: A101343, A155100.
Sequence in context: A011202 A085484 A116585 * A185811 A011140 A171715
Adjacent sequences: A008290 A008291 A008292 * A008294 A008295 A008296
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KEYWORD
| nonn,tabl,easy,nice
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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