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A129108 a(0)=1. a(n) is the smallest positive integer such that LCM(a(n-1),a(n)) = n!. +0
1
1, 1, 2, 3, 8, 15, 144, 35, 1152, 2835, 6400, 6237, 6220800, 1001, 6706022400, 1184625, 17661952, 20138625, 6402373705728000, 19, 2432902008176640000, 4535772564960000, 5601658208256000, 2595200462229375, 1558426126802485248 (list; graph; listen)
OFFSET

0,3

LINKS

Leroy Quet, Home Page (listed in lieu of email address)

EXAMPLE

LCM(a(5),a(6)) = LCM(15,144) = 720 = 6!.

MAPLE

A129108 := proc(nmax) local a, x, i, n, anext; a :=[1] ; while nops(a) < nmax do n := nops(a) : x := [op(numtheory[divisors](n!))] : for i from 1 to nops(x) do anext := op(i, x) ; if lcm(op(-1, a), anext) = factorial(n) then break ; fi ; od ; a := [op(a), anext] ; od ; a ; end: A129108(25) ; - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jun 15 2007

CROSSREFS

Sequence in context: A148013 A133983 A005162 this_sequence A153699 A100321 A121133

Adjacent sequences: A129105 A129106 A129107 this_sequence A129109 A129110 A129111

KEYWORD

nonn

AUTHOR

Leroy Quet May 24 2007

EXTENSIONS

More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jun 15 2007

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Last modified November 23 17:09 EST 2009. Contains 167438 sequences.


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