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Search: id:A078636
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A078636 rad{n(n+1)}. +0
3
2, 6, 6, 10, 30, 42, 14, 6, 30, 110, 66, 78, 182, 210, 30, 34, 102, 114, 190, 210, 462, 506, 138, 30, 130, 78, 42, 406, 870, 930, 62, 66, 1122, 1190, 210, 222, 1406, 1482, 390, 410, 1722, 1806, 946, 330, 690, 2162, 282, 42, 70, 510, 1326, 1378, 318, 330, 770, 798 (list; graph; listen)
OFFSET

1,1

COMMENT

a(A014601(n)) = A139131(A014601(n)); a(n) = A139131(n) * A014695(n). - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Apr 10 2008

LINKS

R. Zumkeller, Table of n, a(n) for n = 1..1000

FORMULA

a(n)=sfk(n*(n+1))=sfk(n)*sfk(n+1), mu(a(n))=mu(sfk(n*(n+1)))=mu(sfk(n))*mu(sfk(n+1)), where sfk=A007947 and mu=A008683. - Reinhard Zumkeller (reinhard.zumkeller(AT)lhsystems.com), Aug 05 2003

EXAMPLE

a(3)=6 as rad(3.4)=rad(12)=rad(2.2.3)=2.3=6

PROGRAM

(PARI) rad(n)=local(p, i); p=factor(n)[, 1]; prod(i=1, length(p), p[i]) for (k=1, 100, print1(rad(k*(k+1))", "))

CROSSREFS

Cf. A007947.

Sequence in context: A006955 A063210 A114718 this_sequence A083482 A099027 A134466

Adjacent sequences: A078633 A078634 A078635 this_sequence A078637 A078638 A078639

KEYWORD

nonn

AUTHOR

Jon Perry (perry(AT)globalnet.co.uk), Dec 12 2002

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.


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