|
| |
|
|
A133991
|
|
a(n) = Sum_{k=0..n} binomial(n,k)*binomial(2^k+n-1,n).
|
|
1
| |
|
|
1, 3, 17, 193, 5427, 463023, 134675759, 139917028089, 527871326293913, 7281357469833220843, 368715613115281663650597, 68787958348542935934247206953, 47453320297069210448891035137347047
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,2
|
|
|
FORMULA
| a(n) = (1/n!)*Sum_{k=0..n} (-1)^(n-k)*Stirling1(n,k)*(2^k+1)^n. G.f.: Sum_{n>=0} (-ln(1-(2^n+1)*x))^n/n!.
|
|
|
CROSSREFS
| Sequence in context: A195067 A158885 A202424 * A009494 A075271 A194925
Adjacent sequences: A133988 A133989 A133990 * A133992 A133993 A133994
|
|
|
KEYWORD
| easy,nonn
|
|
|
AUTHOR
| Paul Hanna and Vladeta Jovovic (vladeta(AT)eunet.rs), Jan 21 2008
|
|
|
EXTENSIONS
| More terms from Alexis Olson (AlexisOlson(AT)gmail.com), Nov 14 2008
|
| |
|
|
