|
Search: id:A056158
|
|
|
| A056158 |
|
Equivalent of the Kurepa hypothesis for left factorial. |
|
+0
2
|
|
| -4, -2, -4, 2, -20, 86, -532, 3706, -29668, 266990, -2669924, 29369138, -352429684, 4581585862, -64142202100, 962133031466, -15394128503492, 261700184559326, -4710603322067908, 89501463119290210, -1790029262385804244
(list; graph; listen)
|
|
|
OFFSET
|
3,1
|
|
|
COMMENT
|
For a prime p>2 we have !p == -a(p) mod p, where the left factorial !n = sum_{k=0..n-1} k! (A003422).
|
|
FORMULA
|
a(3)=-4, a(n)=-(n-3)*a(n-1)-2*(n-1); or a(n)=2*(-1)^{n-1}*(n-3)!* Sum_{k=0}^{n-3} frac{(k+2)*(-1)^{k+1}}{k!}
|
|
CROSSREFS
|
Adjacent sequences: A056155 A056156 A056157 this_sequence A056159 A056160 A056161
Sequence in context: A010474 A064887 A114424 this_sequence A010316 A083954 A038702
|
|
KEYWORD
|
sign,easy
|
|
AUTHOR
|
Aleksandar Petojevic (apetoje(AT)ptt.yu), Jul 31 2000
|
|
EXTENSIONS
|
More terms from Larry Reeves (larryr(AT)acm.org), Oct 03 2000
|
|
|
Search completed in 0.002 seconds
|
