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A153824 Sum of proper divisors of n!: a(n) = sigma(n!) - n!. +0
2
0, 0, 1, 6, 36, 240, 1698, 14304, 118800, 1118160, 11705288, 144092256, 1738439808, 24817158912, 355309325280, 5378578601760, 86081749397280, 1570394279039040, 28281459220193088, 572031558109589760, 11458497230555094720 (list; graph; listen)
OFFSET

0,4

COMMENT

a(n) is the sum of proper divisors of factorial number A000142(n).

FORMULA

a(n) = A000203(n!) - n! = A062569(n)-A000142(n) = A001065(A000142(n)).

MAPLE

with(numtheory): seq(sigma(factorial(n))-factorial(n), n = 0 .. 22); [From Emeric Deutsch (deutsch(AT)duke.poly.edu), Jan 07 2009]

CROSSREFS

Cf. A000142, A000203, A001065, A062569.

Sequence in context: A099252 A057395 A066053 this_sequence A001286 A049431 A049428

Adjacent sequences: A153821 A153822 A153823 this_sequence A153825 A153826 A153827

KEYWORD

nonn

AUTHOR

Omar E. Pol (info(AT)polprimos.com), Jan 02 2009

EXTENSIONS

Extended by Emeric Deutsch (deutsch(AT)duke.poly.edu), Jan 07 2009

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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.


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