A071378 - OEIS

A071378

Largest proper divisor of n^3.

4, 9, 32, 25, 108, 49, 256, 243, 500, 121, 864, 169, 1372, 1125, 2048, 289, 2916, 361, 4000, 3087, 5324, 529, 6912, 3125, 8788, 6561, 10976, 841, 13500, 961, 16384, 11979, 19652, 8575, 23328, 1369, 27436, 19773, 32000, 1681, 37044, 1849, 42592

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OFFSET

2,1

COMMENTS

Computable as largest value of GCD(n^3,j) for j = 1+n^3, ... , -1+2*n^3.

LINKS

Amiram Eldar, Table of n, a(n) for n = 2..10000

FORMULA

a(n) = A032742(n^3).

a(n) = n^3 / A020639(n). - Amiram Eldar, Jul 17 2024

MATHEMATICA

Table[Max[Table[GCD[n^3, w], {w, n^3+1, 2*n^3-1}]], {n, 2, 128}]

a[n_] := n^3/FactorInteger[n][[1, 1]]; Array[a, 127, 2] (* Amiram Eldar, Jul 17 2024 *)

CROSSREFS

Cf. A020639, A032742, A070935.

Sequence in context: A272423 A280163 A361987 * A053192 A338576 A270618

Adjacent sequences: A071375 A071376 A071377 * A071379 A071380 A071381

KEYWORD

nonn

AUTHOR

Labos Elemer, May 22 2002

STATUS

approved