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A080073 Let f(n)! = n^n. Then f(n) = n g(1/log(n)), where g has the asymptotic series g(x) = Sum a(j) x^j/j!. The given sequence is a(j). 0
1, 1, 0, -3, 4, 50, -264, -1638, 25264, 40896, -3357360, 13380840, 559239264, -7126367664, -98536058880, 3137828374800, 8293939695360, -1427422903584000, 10789876955529216, 666226173751955712, -14427332604300810240, -279534553922071445760 (list; graph; refs; listen; history; internal format)
OFFSET

0,4

EXAMPLE

f(n) = n (1 + 1/log(n) - 1/(2 log(n)^3) + ...), so a(0) = 1, a(1) = 1, a(2) = 0 and a(3) = (-1/2)*3! = -3.

CROSSREFS

Sequence in context: A198051 A032839 A056855 * A032840 A114694 A132678

Adjacent sequences:  A080070 A080071 A080072 * A080074 A080075 A080076

KEYWORD

easy,sign

AUTHOR

Jim Ferry (jferry(AT)alum.mit.edu), Mar 14 2003

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Last modified February 16 17:11 EST 2012. Contains 205938 sequences.