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A216441 a(n) = n! mod !n. 1
0, 0, 6, 32, 190, 1332, 10654, 95888, 958878, 10547660, 126571918, 1645434936, 23036089102, 345541336532, 5528661384510, 93987243536672, 1691770383660094, 32143637289541788, 642872745790835758, 13500327661607550920, 297007208555366120238, 6831165796773420765476 (list; graph; refs; listen; history; text; internal format)
OFFSET
2,3
COMMENTS
!n is a subfactorial number (A000166).
LINKS
EXAMPLE
a(5) = 5! mod !5 = 120 mod 44 = 32. - Indranil Ghosh, Feb 15 2017
MAPLE
with(numtheory): f:=n->sum(n!*(((-1)^k)*1/k!), k=0..n):for n from 1 to 30 do: x:=irem(n!, f(n)): printf(`%d, `, x):od:
MATHEMATICA
Table[Mod[n !, Subfactorial[n]], {n, 100} ]
CROSSREFS
Sequence in context: A228959 A302734 A319228 * A108188 A020058 A146557
KEYWORD
nonn
AUTHOR
Michel Lagneau, Sep 07 2012
STATUS
approved

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Last modified March 1 08:46 EST 2024. Contains 370430 sequences. (Running on oeis4.)