A100114 - OEIS

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A100114

a(n) = the unique squarefree m such that A100113(A100112(m))=A005117(n).

2

1, 2, 5, 7, 3, 13, 10, 19, 23, 11, 6, 30, 41, 14, 17, 47, 26, 57, 15, 61, 21, 29, 34, 66, 39, 22, 71, 33, 87, 46, 94, 31, 102, 35, 42, 55, 110, 115, 62, 37, 43, 123, 51, 38, 139, 151, 65, 77, 53, 158, 70, 170, 82, 86, 58, 178, 78, 59, 93, 83, 190, 195, 69, 206, 74, 101, 213

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OFFSET

1,2

COMMENTS

a(A100112(n)) and A100113(A100112(n)) define a pair of inverse permutations of the squarefree numbers: a(A100112(A100113(n))) = A100113(A100112(a(n))) = A005117(n);

A100116(n) = if n is squarefree then a(A100112(n)) else n.

LINKS

Table of n, a(n) for n=1..67.

Eric Weisstein's World of Mathematics, Squarefree

CROSSREFS

Sequence in context: A361329 A076555 A095928 * A078319 A246207 A286615

Adjacent sequences: A100111 A100112 A100113 * A100115 A100116 A100117

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller, Nov 07 2004

STATUS

approved