%I #12 Nov 14 2024 08:21:48
%S 0,1,3,5,11,17,23,29,59,89,119,149,179,209,419,629,839,1049,1259,1469,
%T 1679,1889,2099,2309,4619,6929,9239,11549,13859,16169,18479,20789,
%U 23099,25409,27719,30029,60059,90089,120119,150149,180179,210209,240239,270269
%N a(n) is the least number whose sum of digits in primorial base equals n.
%C Equivalently, this sequence gives positions of records in A276150.
%H Rémy Sigrist, <a href="/A343048/b343048.txt">Table of n, a(n) for n = 0..10000</a>
%H <a href="/index/Pri#primorialbase">Index entries for sequences related to primorial base</a>
%F A276150(a(n)) = n.
%F a(n) = A060735(n)-1. - _Antti Karttunen_, Nov 14 2024
%e The first terms, alongside their primorial base representation, are:
%e n a(n) prim(a(n))
%e -- ---- ----------
%e 0 0 0
%e 1 1 1
%e 2 3 11
%e 3 5 21
%e 4 11 121
%e 5 17 221
%e 6 23 321
%e 7 29 421
%e 8 59 1421
%e 9 89 2421
%e 10 119 3421
%e 11 149 4421
%e 12 179 5421
%e 13 209 6421
%e 14 419 16421
%e 15 629 26421
%o (PARI) a(n) = my (v=0, pp=1); forprime (p=2, oo, if (n==0, return (v), my (d=min(p-1, n)); n-=d; v+=d*pp; pp*=p))
%Y Cf. A200748, A276150.
%Y One less than A060735.
%Y Cf. also A372559.
%K nonn,base
%O 0,3
%A _Rémy Sigrist_, Apr 05 2021