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Search: id:A083481
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A083481 Smallest k such that n(n+1)*k is a square. +0
2
2, 6, 3, 5, 30, 42, 14, 2, 10, 110, 33, 39, 182, 210, 15, 17, 34, 38, 95, 105, 462, 506, 138, 6, 26, 78, 21, 203, 870, 930, 62, 66, 1122, 1190, 35, 37, 1406, 1482, 390, 410, 1722, 1806, 473, 55, 230, 2162, 141, 3, 2, 102, 663, 689, 318, 330, 770, 798, 3306, 3422, 885 (list; graph; listen)
OFFSET

1,1

COMMENT

k = p*q*r... is a squarefree number where p,q,r are those prime factors of n(n+1) which have odd index.

PROGRAM

(PARI) a(n)=core(n*(n+1))

CROSSREFS

Cf. A083482.

Adjacent sequences: A083478 A083479 A083480 this_sequence A083482 A083483 A083484

Sequence in context: A093650 A064433 A139384 this_sequence A136695 A011447 A076041

KEYWORD

nonn

AUTHOR

Amarnath Murthy and Meenakshi Srikanth (amarnath_murthy(AT)yahoo.com), May 03 2003

EXTENSIONS

More terms from Benoit Cloitre (benoit7848c(AT)orange.fr), May 04 2003

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Last modified October 13 02:37 EDT 2008. Contains 145008 sequences.


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