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A279020
a(n) = unreduced numerator in Sum_{k=1..n} (-1)^(k-1)/k^k.
1
0, 1, 3, 85, 21652, 67690148, 3158065145088, 2600806474859606784, 43634288683151793919033344, 16904817514490272003065681518985216, 169048175123324778807714958980684133171200000, 48231417258392463006590622244366007983063473271603200000
OFFSET
0,3
LINKS
FORMULA
a(n) ~ A083648 * A002109(n).
a(0) = 0, a(n) = n^n * a(n-1) + (-1)^(n-1) * A002109(n-1).
PROG
(PARI) sum(k=1, n, (-1)^(k-1)/k^k) * prod(k=1, n, k^k)
CROSSREFS
Cf. A083648.
Sequence in context: A120264 A292830 A185142 * A302947 A326948 A159053
KEYWORD
nonn,easy
AUTHOR
Daniel Suteu, Dec 03 2016
STATUS
approved