Search: id:A008294
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%I A008294
%S A008294 1,1,1,2,5,6,5,28,24,61,180,120,61,662,1320,720,1385,7266,10920,5040,
%T A008294 1385,24568,83664,100800,40320,50521,408360,1023120,1028160,362880,50521,
%U A008294 1326122,6749040,13335840,11491200,3628800,2702765,30974526,113760240
%N A008294 Triangle of coefficients in expansion of D^n (sec x) / sec x in powers 
               of tan x.
%D A008294 Haigh, Gordon; A "natural" approach to Pick's theorem. Math. Gaz. 64 
               (1980), no. 429, 173-180.
%D A008294 Knuth, D. E.; Buckholtz, Thomas J. Computation of tangent, Euler and 
               Bernoulli numbers. Math. Comp. 21 1967 663-688.
%F A008294 a(0, k)=delta(0, k); a(n+1, k)=k*a(n, k-1)+(k+1)a(n, k+1).
%Y A008294 Cf. A008293. See A104 035 for another version.
%Y A008294 Sequence in context: A103989 A161017 A155947 this_sequence A019694 A113975 
               A035585
%Y A008294 Adjacent sequences: A008291 A008292 A008293 this_sequence A008295 A008296 
               A008297
%K A008294 easy,nonn,tabl,nice
%O A008294 0,4
%A A008294 N. J. A. Sloane (njas(AT)research.att.com).

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