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

0,3

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

Formula

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

Prog

(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));

Crossrefs

Cf. A053669, A267263, A289234.

Cf. also A286626, A328477, A330740, A331171.

Sequence in context: A159062 A301274 A093616 * A089247 A167974 A106620

Adjacent sequences: A331169 A331170 A331171 * A331173 A331174 A331175

Keyword

nonn,base

Author

Antti Karttunen, Jan 12 2020

Status

approved