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Search: id:A092488
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A092488 a(n) = least k such that {n+0, n+1, n+2, n+3, ... n+k} has a non-empty subset the product of whose members is a square. +0
2
0, 2, 1, 0, 4, 3, 2, 1, 0, 6, 5, 4, 3, 2, 1, 0, 8, 7, 6, 5, 4, 3, 2, 1, 0, 9, 8, 8, 7, 6, 5, 4, 3, 2, 1, 0, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 13, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 13, 14, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 17 (list; graph; listen)
OFFSET

1,2

REFERENCES

R. K. Guy, Unsolved Problems in Number Theory, B30.

EXAMPLE

Often a(n) is the distance from n to the next square. But e.g. a(26)=9 (not 10) because 27*28*30*32*35 is a square.

CROSSREFS

Cf. A068527, A068568, A092487.

Sequence in context: A106375 A131667 A086802 this_sequence A068527 A049243 A077908

Adjacent sequences: A092485 A092486 A092487 this_sequence A092489 A092490 A092491

KEYWORD

nonn,easy

AUTHOR

R. K. Guy (rkg(AT)cpsc.ucalgary.ca), Apr 02 2004

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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