A280378 Partial products of A119619.

1, 1, 2, 6, 144, 1440, 1036800, 326592000, 1463132160000, 6636767477760000, 24083501823295488000000, 278164446059062886400000000, 133241214725404817086218240000000000, 1851999588197236795571599048704000000000000, 79730449087475946864047275218548293632000000000000

Offset

1,3

Comments

A119619(n) = Product_{d|n} pxi(d), where pxi(m) is the product of totatives of m (A001783).

Links

Table of n, a(n) for n=1..15.

Formula

a(n) = Product_{i=1..n} A119619(i).

Mathematica

FoldList[#1 #2 &, Table[Product[Times @@ Select[Range@ d, CoprimeQ[d, #] &], {d, Divisors@ n}], {n, 15}]] (* Michael De Vlieger, Jan 09 2017 *)

Prog

(Magma) [&*[&*[&*[h: h in [1..d] | GCD(h, d) eq 1]: d in Divisors(k)]: k in [1..n]]: n in [1..100]]

Crossrefs

Cf. A119619, A280377.

Sequence in context: A027731 A280821 A145143 * A280714 A164764 A333444

Adjacent sequences: A280375 A280376 A280377 * A280379 A280380 A280381

Keyword

nonn

Author

Jaroslav Krizek, Jan 08 2017

Status

approved