A331172 a(n) = min(n, A289234(n)), where A289234 is primorial base "reciprocal" flip.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 12, 13, 14, 15, 16, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 42, 43, 44, 45, 46, 47, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81

Offset: 0

Author

Antti Karttunen, Jan 12 2020

Keywords

• nonn
• base

Comments

For all i, j:

a(i) = a(j) => A267263(i) = A267263(j).

For all i, j > 0:

a(i) = a(j) => A053669(i) = A053669(j).

Links

• Antti Karttunen, Table of n, a(n) for n = 0..30029
• Index entries for sequences related to primorial base

Crossrefs

Cf. A053669, A267263, A289234.

Cf. also A286626, A328477, A330740, A331171.

Programs

PARI

A289234(n) = { my(pr=1, p=2, v=0); while(n>0, my (d=n%p); if(d>0, v += pr * lift(1/Mod(d, p))); pr *= p; n \= p; p = nextprime(p+1)); return(v); }; \\ From A289234.
A331172(n) = min(n, A289234(n));

Formula

a(n) = min(n, A289234(n)).