

A075393


Positive integers n such that n is not divisible by A002034(n).


1



9, 16, 25, 45, 49, 75, 80, 121, 125, 147, 169, 175, 225, 243, 245, 250, 256, 289, 343, 361, 363, 441, 486, 500, 507, 512, 525, 529, 539, 605, 625, 637, 675, 686, 729, 735, 768, 841, 845, 847, 867, 875, 961, 1000, 1024, 1083, 1089, 1183, 1215, 1225, 1250
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OFFSET

1,1


COMMENTS

If n is squarefree, then A002034(n) is the largest prime factor of n, so n is not in the sequence. If p is an odd prime, then A002034(p^2) = 2*p, so p^2 is in the sequence.  David Wasserman, Jan 17 2005


LINKS

Table of n, a(n) for n=1..51.


EXAMPLE

a(1)=9 because 9 is the first number that is not a multiple of A002034(9)=6.


MATHEMATICA

(A002034[n_] := (m=1; While[ !IntegerQ[m!/n], m++ ]; m); list = {}; Do[If[ !IntegerQ[n/A002034[n]], list = Append[list, n]], {n, 100}]; list)  Jonathan Sondow, Apr 18 2004


CROSSREFS

Cf. A002034.
Sequence in context: A177430 A256705 A092941 * A161183 A183345 A303873
Adjacent sequences: A075390 A075391 A075392 * A075394 A075395 A075396


KEYWORD

nonn


AUTHOR

Amarnath Murthy, Sep 22 2002


EXTENSIONS

More terms from David Wasserman, Jan 17 2005
Edited by N. J. A. Sloane, Apr 19 2007


STATUS

approved



