A284004 a(n) = A046523(A284003(n)).

1, 2, 6, 2, 30, 6, 2, 6, 210, 30, 6, 30, 2, 6, 30, 6, 2310, 210, 30, 210, 6, 30, 210, 30, 2, 6, 30, 6, 210, 30, 6, 30, 30030, 2310, 210, 2310, 30, 210, 2310, 210, 6, 30, 210, 30, 2310, 210, 30, 210, 2, 6, 30, 6, 210, 30, 6, 30, 2310, 210, 30, 210, 6, 30, 210, 30, 510510, 30030, 2310, 30030, 210, 2310, 30030, 2310, 30, 210, 2310, 210, 30030, 2310, 210, 2310

Offset

0,2

Links

Antti Karttunen, Table of n, a(n) for n = 0..8191

Index entries for sequences related to binary expansion of n

Formula

a(n) = A046523(A284003(n)).

a(n) = A002110(A001222(A284003(n))) = A002110(A209281(n))). [Latter so far only conjectured.]

Mathematica

Table[Times @@ MapIndexed[Prime[First@ #2]^#1 &, Reverse@ Sort@ FactorInteger[#][[All, -1]]] - Boole[# == 1] &@ Apply[Times, FactorInteger[#] /. {p_, e_} /; e > 0 :> Times @@ (p^Mod[e, 2])] &[Times @@ Map[#1^#2 & @@ # &, FactorInteger[#] /. {p_, e_} /; e == 1 :> {Times @@ Prime@ Range@ PrimePi@ p, e}] &[Times @@ Prime@ Flatten@ Position[#, 1] &@ Reverse@ IntegerDigits[n, 2]]], {n, 0, 52}] (* Michael De Vlieger, Mar 18 2017 *)

Prog

(PARI)
\\ Code for A284003 given under that entry.
A046523(n) = my(f=vecsort(factor(n)[, 2], , 4), p); prod(i=1, #f, (p=nextprime(p+1))^f[i]) \\ From Charles R Greathouse IV, Aug 17 2011
A284004(n) = A046523(A284003(n));
(Scheme) (define (A284004 n) (A046523 (A284003 n)))

Crossrefs

Cf. A001222, A002110, A046523, A209281, A284003.

Sequence in context: A027760 A141056 A141498 * A225481 A366572 A144845

Adjacent sequences: A284001 A284002 A284003 * A284005 A284006 A284007

Keyword

nonn

Author

Antti Karttunen, Mar 18 2017

Status

approved