A047688 Denominators of coefficients in Taylor series for exp(sin(x)).
1, 1, 2, 1, 8, 15, 240, 90, 5760, 5670, 3628800, 3150, 14515200, 48648600, 4151347200, 2554051500, 20922789888000, 43418875500, 6402373705728000, 34735100400, 3283268567040000, 623668727682000, 34060628114472960000, 306265893058125
Offset: 0
Examples
1 + 1*x + (1/2)*x^2 - (1/8)*x^4 - (1/15)*x^5 - (1/240)*x^6 + (1/90)*x^7 + (31/5760)*x^8 + ...
References
- CRC Standard Mathematical Tables and Formulae, 30th ed. 1996, p. 42.
Links
- M. F. Hasler, Table of n, a(n) for n = 0..500, Jun 07 2025
Programs
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PARI
apply(denominator, Vec(exp(sin(x)))) \\ M. F. Hasler, Jun 07 2025