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Search: id:A092593
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A092593 a(n) is the smallest number >1 for which A001142(n)/A002944(n)^n is integer. +0
1
2, 3, 9, 9, 15, 15, 38, 45, 45, 45, 61, 61, 225, 225, 225, 225, 225, 225, 225, 225, 225, 225 (list; graph; listen)
OFFSET

1,1

EXAMPLE

n=4, A001142(9)=1.9.36...9.1=11759522374656,

A002944(9)=LCM[1.9,...,9,1]=252 and A001142(9)=2916.(252^4)=11759522374656,

so a[4]=9, the smallest relevant number.

MATHEMATICA

Table[fla=1; Do[s1=Apply[Times, Table[Binomial[n, j], {j, 0, n}]]; s2=Apply[LCM, Table[Binomial[n, j], {j, 0, n}]]; If[IntegerQ[s1/(s2^k)]&&!Equal[n, 1]&&Equal[fla, 1], Print[{n, k}]; fla=0], {n, 1, 230}], {k, 1, 25}]

CROSSREFS

Cf. A001142, A002944, A092593.

Sequence in context: A122665 A133066 A131988 this_sequence A024816 A007316 A135204

Adjacent sequences: A092590 A092591 A092592 this_sequence A092594 A092595 A092596

KEYWORD

nonn

AUTHOR

Labos E. (labos(AT)ana.sote.hu), Mar 10 2004

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Last modified July 24 12:00 EDT 2008. Contains 142294 sequences.


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