A334283 Numerators of power series coefficients of A(x) satisfying A(A(x)) = x + Sum_{k>=2} prime(k-1) * x^k.

1, 1, 1, 3, -3, 11, -47, 291, -361, -327, 2651, 8117, -23761, -920509, 3401813, 48080231, -949833905, -533061737, 47194458351, 9309105461, -5717668358773, 5794759242411, 416358013987311, -3775846647202969, -144292064358491357, 269618719159718919, 14658236743430975341

Offset

1,4

Links

Table of n, a(n) for n=1..27.

Wikipedia, Functional square root

Example

1, 1, 1/2, 3/4, -3/8, 11/8, -47/16, 291/64, -361/128, -327/64, 2651/256, 8117/512, -23761/1024, -920509/2048, ...

Crossrefs

Cf. A008578, A030274, A030278, A334284 (denominators).

Sequence in context: A176956 A200861 A113892 * A365110 A350921 A352857

Adjacent sequences: A334280 A334281 A334282 * A334284 A334285 A334286

Keyword

sign,frac

Author

Ilya Gutkovskiy, Apr 21 2020

Status

approved