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”).
%I #7 Feb 05 2022 17:20:02
%S 6,30,31,32,36,60,210,211,212,213,214,215,216,217,218,240,241,242,420,
%T 421,422,2310,2311,2312,2313,2314,2315,2316,2317,2318,2319,2320,2321,
%U 2322,2323,2324,2325,2328,2340,2341,2342,2343,2344,2345,2346,2347,2348,2352,2370,2371,2372,2520,2521,2522,2523,2524,2526,2527
%N Numbers k for which A276086(k) < k, where A276086 is the primorial base exp-function.
%H <a href="/index/Pri#primorialbase">Index entries for sequences related to primorial base</a>
%t Select[Range[2528], Block[{i, m, n = #, p}, m = i = 1; While[n > 0, p = Prime[i]; m *= p^Mod[n, p]; n = Quotient[n, p]; i++]; m < #] &] (* _Michael De Vlieger_, Feb 05 2022 *)
%o (PARI)
%o A276086(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m); };
%o isA351226(n) = (A276086(n)<n);
%Y Cf. A002110 (subsequence from its third term 6 onward), A276086, A351227 (complement).
%Y Positions of negative terms in A351225, positions of zeros in A351089.
%K nonn,base
%O 1,1
%A _Antti Karttunen_, Feb 05 2022