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A283995 Least number with same prime signature as the n-th divisorial: a(n) = A046523(A007955(n)). 3
1, 2, 2, 8, 2, 36, 2, 64, 8, 36, 2, 1728, 2, 36, 36, 1024, 2, 1728, 2, 1728, 36, 36, 2, 331776, 8, 36, 64, 1728, 2, 810000, 2, 32768, 36, 36, 36, 10077696, 2, 36, 36, 331776, 2, 810000, 2, 1728, 1728, 36, 2, 254803968, 8, 1728, 36, 1728, 2, 331776, 36, 331776, 36, 36, 2, 46656000000, 2, 36, 1728, 2097152, 36, 810000, 2, 1728, 36, 810000, 2, 139314069504, 2, 36 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Antti Karttunen, Table of n, a(n) for n = 1..1025

FORMULA

a(n) = A046523(A007955(n)).

MATHEMATICA

Table[If[n == 1, 1, Times @@ MapIndexed[Prime[First@ #2]^#1 &, FactorInteger[Times @@ Divisors@ n][[All, -1]]]], {n, 74}] (* Michael De Vlieger, Mar 22 2017 *)

PROG

(PARI)

A007955(n) = if(issquare(n, &n), n^numdiv(n^2), n^(numdiv(n)/2)); \\ From Charles R Greathouse IV, Feb 11 2011

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

A283995(n) = A046523(A007955(n));

(Scheme) (define (A283995 n) (A046523 (A007955 n)))

CROSSREFS

Cf. A007955, A046523, A069264, A283990.

Sequence in context: A086328 A095997 A274139 * A056189 A121860 A283990

Adjacent sequences:  A283992 A283993 A283994 * A283996 A283997 A283998

KEYWORD

nonn

AUTHOR

Antti Karttunen, Mar 22 2017

STATUS

approved

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Last modified December 13 17:13 EST 2019. Contains 329970 sequences. (Running on oeis4.)