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

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

Offset

0,3

References

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.

Links

Table of n, a(n) for n=0..76.

R. W. Gosper, Experiments and discoveries in q-trigonometry, Preprint.

R. W. Gosper, q-Trigonometry: Some Prefatory Afterthoughts

Example

The array begins:
.........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,
....8,40,64,40,8,
...14,64,100,64,14,
.1,24,100,154,100,24,1,
.2,40,154,232,154,40,2,
.4,64,232,344,232,64,4,
.8,100,344,504,344,100,8,
14,154,504,728,504,154,14,
24,232,728,1040,728,232,24,
...

Crossrefs

Cf. A274622, A274623, A274625.

Sequence in context: A099500 A120253 A307018 * A263050 A060547 A079878

Adjacent sequences: A274621 A274622 A274623 * A274625 A274626 A274627

Keyword

nonn,tabf

Author

N. J. A. Sloane, Jul 05 2016

Status

approved