A319708 a(n) = Product_{d|n, d<n} A276086(d).

1, 2, 2, 6, 2, 36, 2, 54, 12, 108, 2, 1620, 2, 60, 216, 810, 2, 5400, 2, 43740, 120, 540, 2, 607500, 36, 300, 360, 40500, 2, 21870000, 2, 182250, 1080, 2700, 360, 151875000, 2, 1500, 600, 246037500, 2, 101250000, 2, 5467500, 972000, 13500, 2, 85429687500, 20, 6075000, 5400, 5062500, 2, 2531250000, 3240, 3417187500, 3000, 67500, 2

Offset

1,2

Links

Antti Karttunen, Table of n, a(n) for n = 1..2310

Index entries for sequences related to primorial base

Formula

a(n) = Product_{d|n, d<n} A276086(d).

For all n >= 1:

A276085(a(n)) = A001065(n).

A001222(a(n)) = A319713(n).

Prog

(PARI)
A276086(n) = { my(i=0, m=1, pr=1, nextpr); while((n>0), i=i+1; nextpr = prime(i)*pr; if((n%nextpr), m*=(prime(i)^((n%nextpr)/pr)); n-=(n%nextpr)); pr=nextpr); m; };
A319708(n) = { my(m=1); fordiv(n, d, if(d<n, m *= A276086(d))); (m); };

Crossrefs

Cf. A276085, A276086, A319709 (rgs-transform).

Cf. A293214, A293221, A293222, A300834 for similar constructions for other bases.

Sequence in context: A300834 A293214 A293216 * A230266 A342628 A329380

Adjacent sequences: A319705 A319706 A319707 * A319709 A319710 A319711

Keyword

nonn

Author

Antti Karttunen, Oct 03 2018

Status

approved