A351251 Denominator of n / A276086(n).

1, 2, 3, 2, 9, 18, 5, 10, 15, 10, 9, 90, 25, 50, 75, 10, 225, 450, 125, 250, 75, 250, 1125, 2250, 625, 50, 1875, 1250, 5625, 11250, 7, 14, 21, 14, 63, 18, 35, 70, 105, 70, 63, 630, 25, 350, 525, 70, 1575, 3150, 875, 250, 105, 1750, 7875, 15750, 4375, 1750, 1875, 8750, 39375, 78750, 49, 98, 147, 14, 441, 882, 245, 490

Offset: 0

Author

Antti Karttunen, Feb 05 2022

Keywords

• nonn
• frac
• easy

Links

• Antti Karttunen, Table of n, a(n) for n = 0..11550

Crossrefs

Cf. A276086, A324198, A351250 (numerators), A351253.

Cf. also A351231.

Programs

Mathematica

Array[Block[{i, m, n = #, p}, m = i = 1; While[n > 0, p = Prime[i]; m *= p^Mod[n, p]; n = Quotient[n, p]; i++]; Denominator[#/m]] &, 68, 0] (* Michael De Vlieger, Feb 06 2022 *)

PARI

A276086(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m); };
A351251(n) = denominator(n/A276086(n));

Formula

a(n) = A276086(n) / gcd(n,A276086(n)) = A276086(n) / A324198(n).

a(n) = A276086(A351253(n)).