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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, 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 (list; graph; refs; listen; history; text; internal format)
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 * A078225 A244247 A211346

Adjacent sequences:  A334280 A334281 A334282 * A334284 A334285 A334286

KEYWORD

sign,frac

AUTHOR

Ilya Gutkovskiy, Apr 21 2020

STATUS

approved

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Last modified August 7 19:57 EDT 2020. Contains 336279 sequences. (Running on oeis4.)