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A274624 Irregular triangular array read by rows: coefficients in expansion of Gosper's q-cosine function cos_q(Pi*z). 3

%I #11 Feb 17 2020 21:30:36

%S 1,1,2,1,2,4,2,4,8,4,1,8,14,8,1,2,14,24,14,2,4,24,40,24,4,8,40,64,40,

%T 8,14,64,100,64,14,1,24,100,154,100,24,1,2,40,154,232,154,40,2,4,64,

%U 232,344,232,64,4,8,100,344,504,344,100,8,14,154,504,728,504,154,14,24,232,728,1040,728,232,24

%N Irregular triangular array read by rows: coefficients in expansion of Gosper's q-cosine function cos_q(Pi*z).

%D R. W. Gosper, Experiments and discoveries in q-trigonometry, in Symbolic Computation, Number Theory, Special Functions, Physics and Combinatorics. Editors: F. G. Garvan and M. E. H. Ismail. Kluwer, Dordrecht, Netherlands, 2001, pp. 79-105.

%H R. W. Gosper, <a href="/A274621/a274621.pdf">Experiments and discoveries in q-trigonometry</a>, Preprint.

%H R. W. Gosper, <a href="/A274621/a274621_1.pdf">q-Trigonometry: Some Prefatory Afterthoughts</a>

%e The array begins:

%e .........1,

%e .......1,2,1,

%e .......2,4,2,

%e .......4,8,4,

%e .....1,8,14,8,1,

%e ....2,14,24,14,2,

%e ....4,24,40,24,4,

%e ....8,40,64,40,8,

%e ...14,64,100,64,14,

%e .1,24,100,154,100,24,1,

%e .2,40,154,232,154,40,2,

%e .4,64,232,344,232,64,4,

%e .8,100,344,504,344,100,8,

%e 14,154,504,728,504,154,14,

%e 24,232,728,1040,728,232,24,

%e ...

%Y Cf. A274622, A274623, A274625.

%K nonn,tabf

%O 0,3

%A _N. J. A. Sloane_, Jul 05 2016

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