|
Search: id:A121839
|
|
|
| A121839 |
|
Decimal expansion of the Reciprocal Catalan Constant Sum[ 1/C(k), {k,1,Infinity} ], where C(k) is Catalan Number A000108(k). |
|
+0
1
|
|
| 1, 8, 0, 6, 1, 3, 3, 0, 5, 0, 7, 7, 0, 7, 6, 3, 4, 8, 9, 1, 5, 2, 9, 2, 3, 6, 7, 0, 0, 6, 3, 1, 8, 0, 3, 2, 5, 4, 5, 9, 5, 8, 4, 9, 9, 9, 1, 5, 2, 3, 2, 9, 1, 4, 4, 6, 9, 7, 7, 2, 6, 6, 3, 7, 9, 5, 0, 2, 7, 6, 9, 6, 9, 3, 8, 9, 4, 9, 0, 6, 1, 4, 9, 7, 0, 7, 2, 2, 2, 1, 6, 9, 8, 3, 1, 3, 7, 8, 5, 2, 8, 2, 4, 9, 8
(list; cons; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
LINKS
|
Eric Weisstein's World of Mathematics, Catalan Number.
|
|
FORMULA
|
a(n) = RealDigits[ C ], where C = Sum[ n!(n+1)!/(2n)!, {n,1,Infinity} ].
|
|
EXAMPLE
|
Reciprocal Catalan Constant C = 1 + 4*Sqrt[3]*Pi/27 = 1.80613305077076\
3489152923670063180325459584999152329144697726637950276969389490614970\
72221698313785282498773976936290025368713444179307028879922312509...
|
|
MATHEMATICA
|
RealDigits[N[Sum[n!(n+1)!/(2n)!, {n, 1, Infinity}], 150]]
|
|
CROSSREFS
|
Cf. A000108.
Adjacent sequences: A121836 A121837 A121838 this_sequence A121840 A121841 A121842
Sequence in context: A019724 A132034 A107950 this_sequence A010517 A021851 A021996
|
|
KEYWORD
|
cons,nonn
|
|
AUTHOR
|
Alexander Adamchuk (alex(AT)kolmogorov.com), Aug 28 2006
|
|
|
Search completed in 0.002 seconds
|
