|
Search: id:A112094
|
|
|
| A112094 |
|
Denominator of 3*Sum_{i=1..n} 1/(i^2*C(2*i,i)). |
|
+0
2
|
|
| 1, 2, 8, 120, 672, 5600, 79200, 50450400, 201801600, 10291881600, 17776886400, 2151003254400, 3805621142400, 643149973065600, 643149973065600, 31085582031504000, 226741892465088000, 65528406922410432000, 31039771700089152000, 414598230598090803264000, 16583929223923632130560
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
REFERENCES
|
C. Elsner, On recurrence formulae for sums involving binomial coefficients, Fib. Q., 43 (No. 1, 2005), 31-45.
|
|
FORMULA
|
3*Sum_{i=1..infinity} 1/(i^2*C(2*i, i)) = zeta(2) = Pi^2/6.
|
|
MAPLE
|
0, 3/2, 13/8, 197/120, 1105/672, 9211/5600, 130277/79200, 82987349/50450400, ... -> Pi^2/6.
|
|
CROSSREFS
|
Cf. A112093.
Sequence in context: A012347 A099292 A064111 this_sequence A009658 A147794 A027530
Adjacent sequences: A112091 A112092 A112093 this_sequence A112095 A112096 A112097
|
|
KEYWORD
|
nonn,frac
|
|
AUTHOR
|
N. J. A. Sloane (njas(AT)research.att.com), Nov 30 2005
|
|
|
Search completed in 0.002 seconds
|
