

A335119


Number of positive terms of A082916 not exceeding 10^n.


0



5, 33, 233, 1734, 13487, 111460, 950039, 8282970, 73631430, 662319904, 6022446576, 55201746383
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OFFSET

1,1


LINKS

Table of n, a(n) for n=1..12.
Kevin Ford and Sergei Konyagin, Divisibility of the central binomial coefficient binomial(2n, n), arXiv:1909.03903 [math.NT], 2019. See Table 2.


FORMULA

a(n) ~ c * 10^n/log(10^n), where c = 1.526453... (Ford and Konyagin, 2019).


EXAMPLE

Below 10 there are 5 positive terms of A082916: 1, 3, 5, 7, 9. Therefore a(1) = 5.


MATHEMATICA

seqQ[n_] := CoprimeQ[Binomial[2*n, n], n]; seq = {}; p = 10; c = 0; Do[If[seqQ[n], c++]; If[n == p, p *= 10; AppendTo[seq, c]], {n, 1, 10^5}]; seq


CROSSREFS

Cf. A000984, A082916.
Sequence in context: A083076 A162816 A128418 * A284733 A001887 A118803
Adjacent sequences: A335116 A335117 A335118 * A335120 A335121 A335122


KEYWORD

nonn,more


AUTHOR

Amiram Eldar, May 24 2020


EXTENSIONS

Terms a(4)a(11) were taken from the paper by Ford and Konyagin (2019).
a(12) from Giovanni Resta, May 24 2020


STATUS

approved



