login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Least k such that the Jacobsthal function A048669(k) = n.
1

%I #10 Oct 19 2017 10:38:29

%S 1,2,15,6,105,30,1155,770,36465,210,15015,6006,255255,2310,8580495,

%T 102102,4849845,72930,20056049013,74364290,5898837945,30030,

%U 3234846615,881790,195282582495,510510,218257003965,20281170,100280245065,17160990,934482952262145,6614136163635

%N Least k such that the Jacobsthal function A048669(k) = n.

%C Except for a(1) and a(2), the same as A070971. It appears that a(2n)=2a(n) for odd n. Because the primorial numbers (A002110) yield record values of the Jacobsthal function, we have a(A048670(n))=A002110(n). Note that numbers in this sequence up to n=18 have the form p#, p#/2, p#/q, or p#/(2q), where p and q are primes with 2<q<p and p# denotes the product of the primes up to p.

%Y Cf. A048669, A070971, A002110, A048670.

%K nonn

%O 1,2

%A _T. D. Noe_, Mar 28 2007

%E a(19) onwards from _Don Reble_, Oct 17 2013