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A056555 Smallest number k (k>0) such that nk is a perfect 4th power. 4
1, 8, 27, 4, 125, 216, 343, 2, 9, 1000, 1331, 108, 2197, 2744, 3375, 1, 4913, 72, 6859, 500, 9261, 10648, 12167, 54, 25, 17576, 3, 1372, 24389, 27000, 29791, 8, 35937, 39304, 42875, 36, 50653, 54872, 59319, 250, 68921, 74088, 79507, 5324, 1125 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..45.

H. Bottomley, Some Smarandache-type multiplicative sequences

FORMULA

a(n) = A053167(n)/n = n^3/A000190(n)^4 = A056553(n)/A053165(n).

EXAMPLE

a(64)=4 because smallest 4th power divisible by 64 is 256 and 64*4=256.

PROG

(PARI) a(n, f=factor(n))=f[, 2]=-f[, 2]%4; factorback(f) \\ Charles R Greathouse IV, Apr 24 2020

CROSSREFS

Cf. A000190, A008835, A048798, A053164, A053165, A053166, A053167, A056554, A056555.

Sequence in context: A070492 A070711 A282462 * A070491 A070490 A088378

Adjacent sequences:  A056552 A056553 A056554 * A056556 A056557 A056558

KEYWORD

nonn,mult

AUTHOR

Henry Bottomley, Jun 25 2000

STATUS

approved

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Last modified July 12 13:21 EDT 2020. Contains 335663 sequences. (Running on oeis4.)