A334284 Denominators of power series coefficients of A(x) satisfying A(A(x)) = x + Sum_{k>=2} prime(k-1) * x^k.

1, 1, 2, 4, 8, 8, 16, 64, 128, 64, 256, 512, 1024, 2048, 2048, 16384, 32768, 16384, 65536, 131072, 262144, 262144, 524288, 2097152, 4194304, 2097152, 8388608, 8388608, 16777216, 134217728, 67108864, 1073741824, 2147483648, 1073741824, 4294967296

Offset

1,3

Links

Table of n, a(n) for n=1..35.

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, A030275, A030278, A334283 (numerators).

Sequence in context: A192097 A132720 A029930 * A193850 A140119 A273068

Adjacent sequences: A334281 A334282 A334283 * A334285 A334286 A334287

Keyword

nonn,frac

Author

Ilya Gutkovskiy, Apr 21 2020

Status

approved