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A103815 Product[Fibonacci[k],{k,1,n}]-1. 1
0, 0, 1, 5, 29, 239, 3119, 65519, 2227679, 122522399, 10904493599, 1570247078399, 365867569267199, 137932073613734399, 84138564904377983999, 83044763560621070207999, 132622487406311849122175999 (list; graph; refs; listen; history; internal format)
OFFSET

1,4

COMMENTS

a(n) asymptotic to Phi^A000217(n). Prime for n = 4, 5, 6, 7, 8, 14, 15. Semiprime for n = 9, 10, 11, 20.

FORMULA

a(n) = Product[Fibonacci[k], {k, 1, n}]-1 = Product[A000045[k], {k, 1, n}]-1.

EXAMPLE

a(15) = 1 * 1 * 2 * 3 * 5 * 8 * 13 * 21 * 34 * 55 * 89 * 144 * 233 * 377 * 610 - 1 = 84138564904377983999 is prime.

CROSSREFS

Cf. A000045, A000217, A052449.

Sequence in context: A087662 A113012 A000354 * A134752 A144015 A181356

Adjacent sequences:  A103812 A103813 A103814 * A103816 A103817 A103818

KEYWORD

easy,nonn

AUTHOR

Jonathan Vos Post (jvospost3(AT)gmail.com), Mar 29 2005

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Last modified February 15 09:26 EST 2012. Contains 205753 sequences.