This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A381032 #8 Feb 17 2025 12:09:57 %S A381032 1,1,1,1,3,3,1,1,1,1,3,3,5,5,5,5,3,3,5,5,5,5,3,3,5,5,5,5,3,3,1,1,1,1, %T A381032 3,3,1,1,1,1,3,3,5,5,5,5,3,3,5,5,5,5,3,3,5,5,5,5,3,3,7,7,7,7,3,3,7,7, %U A381032 7,7,3,3,5,5,5,5,3,3,5,5,5,5,3,3,5,5,5,5,3,3,7,7,7,7,3,3,7,7,7,7,3,3,5,5,5,5,3,3,5 %N A381032 The radix prime of the least significant digit > 1 in the primorial base expansion of n, or 1 if there is no such digit. %H A381032 Antti Karttunen, <a href="/A381032/b381032.txt">Table of n, a(n) for n = 0..65537</a> %H A381032 <a href="/index/Pri#primorialbase">Index entries for sequences related to primorial base</a>. %F A381032 a(n) = A008578(1+A328828(n)). %F A381032 a(n) = A020639(A328572(n)) = A249739(A276086(n)). %F A381032 For all n, a(n) divides A327860(n). %o A381032 (PARI) A381032(n) = { my(p=2); while(n, if((n%p)>1, return(p)); n = n\p; p = nextprime(1+p)); (1); }; %Y A381032 Cf. A008578, A020639, A249739, A276086, A327860, A328572, A328828, A381033, A381034. %Y A381032 Cf. A088860 (positions of records for values > 1), A276156 (positions of 1's). %Y A381032 Cf. also A053669, A351566. %K A381032 nonn %O A381032 0,5 %A A381032 _Antti Karttunen_, Feb 13 2025