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A087902 Least m such that A080256(m)=n and has a maximum number A000792(n) of divisors. +0
2
2, 4, 6, 12, 36, 60, 180, 900, 1260, 6300, 44100, 69300, 485100, 5336100, 6306300, 69369300, 901800900, 1179278100, 15330615300, 260620460100, 291281690700, 4951788741900, 94083986096100, 113891141063700, 2163931680210300 (list; graph; listen)
OFFSET

2,1

COMMENT

Omega(m)=A004523(n+1).

EXAMPLE

a(6): The numbers m with A080256(m) = 6 are 24, 30, 32, 36, 40..., with number of divisors 8, 8, 6, 9, 8.... None of these have more than A000792(6) = 9 divisors and 36 is the first that has 9, so a(6) = 36.

PROGRAM

(PARI) a(n) = local(x); x = (n + 2)\3; prod(i = 1, x, prime(i)^2)/if (n%3 == 1, prime(x)*prime(x - 1), if (n%3, prime(x), 1)); (Wasserman)

CROSSREFS

Sequence in context: A118405 A095912 A143474 this_sequence A081457 A127105 A110980

Adjacent sequences: A087899 A087900 A087901 this_sequence A087903 A087904 A087905

KEYWORD

nonn

AUTHOR

Lekraj Beedassy (blekraj(AT)yahoo.com), Oct 14 2003

EXTENSIONS

More terms from David Wasserman (wasserma(AT)spawar.navy.mil), Jun 17 2005

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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