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

%I A274624 #11 Feb 17 2020 21:30:36
%S A274624 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 A274624 8,14,64,100,64,14,1,24,100,154,100,24,1,2,40,154,232,154,40,2,4,64,
%U A274624 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 A274624 Irregular triangular array read by rows: coefficients in expansion of Gosper's q-cosine function cos_q(Pi*z).
%D A274624 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 A274624 R. W. Gosper, <a href="/A274621/a274621.pdf">Experiments and discoveries in q-trigonometry</a>, Preprint.
%H A274624 R. W. Gosper, <a href="/A274621/a274621_1.pdf">q-Trigonometry: Some Prefatory Afterthoughts</a>
%e A274624 The array begins:
%e A274624 .........1,
%e A274624 .......1,2,1,
%e A274624 .......2,4,2,
%e A274624 .......4,8,4,
%e A274624 .....1,8,14,8,1,
%e A274624 ....2,14,24,14,2,
%e A274624 ....4,24,40,24,4,
%e A274624 ....8,40,64,40,8,
%e A274624 ...14,64,100,64,14,
%e A274624 .1,24,100,154,100,24,1,
%e A274624 .2,40,154,232,154,40,2,
%e A274624 .4,64,232,344,232,64,4,
%e A274624 .8,100,344,504,344,100,8,
%e A274624 14,154,504,728,504,154,14,
%e A274624 24,232,728,1040,728,232,24,
%e A274624 ...
%Y A274624 Cf. A274622, A274623, A274625.
%K A274624 nonn,tabf
%O A274624 0,3
%A A274624 _N. J. A. Sloane_, Jul 05 2016