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A136742 Product of the n-th run of square-free numbers. +0
6
6, 210, 110, 2730, 17, 19, 10626, 26, 26970, 39270, 54834, 74046, 2162, 51, 53, 55, 195054, 3782, 287430, 342930, 5402, 474474, 6806, 635970, 89, 91, 830490, 97, 1061106, 1190910, 1330890, 1481430, 14042, 15006, 127, 2196870, 17822, 2627934 (list; graph; listen)
OFFSET

1,1

COMMENT

All terms are square-free;

a(n) mod A072284(n) = 0;

A136743(n) = A001221(a(n)).

LINKS

Eric Weisstein's World of Mathematics, Squarefree

FORMULA

a(n) = PRODUCT(A072284(n)+k: 0<=k<A120992(n));

EXAMPLE

n=10: A072284(10)=33, A120992(10)=3: a(10)=33*34*35=39270.

CROSSREFS

Cf. A005117.

Sequence in context: A159307 A024083 A120436 this_sequence A068969 A055193 A094805

Adjacent sequences: A136739 A136740 A136741 this_sequence A136743 A136744 A136745

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jan 20 2008

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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