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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

%I #5 Apr 21 2020 19:07:17

%S 1,1,1,3,-3,11,-47,291,-361,-327,2651,8117,-23761,-920509,3401813,

%T 48080231,-949833905,-533061737,47194458351,9309105461,-5717668358773,

%U 5794759242411,416358013987311,-3775846647202969,-144292064358491357,269618719159718919,14658236743430975341

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

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Functional_square_root">Functional square root</a>

%e 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, ...

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

%K sign,frac

%O 1,4

%A _Ilya Gutkovskiy_, Apr 21 2020

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Last modified March 28 16:58 EDT 2024. Contains 371254 sequences. (Running on oeis4.)