|
Search: id:A092785
|
|
|
| A092785 |
|
Sum(sum(binomial(j-n-1,m),m=0..n),j=0..n). |
|
+0
2
|
|
| 1, -1, 7, -21, 81, -295, 1107, -4165, 15793, -60171, 230253, -884235, 3406105, -13154947, 50922987, -197519941, 767502945, -2987013067, 11641557717, -45429853651, 177490745985
(list; graph; listen)
|
|
|
OFFSET
|
0,3
|
|
|
FORMULA
|
Differs from A072547 by -1, +1, -1, +1, -1, ... - Ralf Stephan, Apr 19 2004.
Equals sum(m=0, n, (-1)^m*binomial(n+m, m)). - Henry Gould, Apr 23, 2004
Let f(n) = (-1)^n a(n). Then 2f(n) + f(n-1) = (3n+1)C(n) + (-1)^n, where C(n) = (2n+1)!/n!(n+1)! is a Catalan number (A000108). - Henry Gould, Apr 24, 2004
|
|
CROSSREFS
|
Sequence in context: A146247 A147003 A110683 this_sequence A114902 A164544 A100025
Adjacent sequences: A092782 A092783 A092784 this_sequence A092786 A092787 A092788
|
|
KEYWORD
|
sign
|
|
AUTHOR
|
Francois Jooste (pin(AT)myway.com), Apr 23 2004
|
|
|
Search completed in 0.002 seconds
|
