|
Search: id:A088957
|
|
|
| A088957 |
|
Hyperbinomial transform of the sequence of 1's. |
|
+0
6
|
|
| 1, 2, 6, 29, 212, 2117, 26830, 412015, 7433032, 154076201, 3608522954, 94238893883, 2715385121740, 85574061070045, 2928110179818478, 108110945014584623, 4284188833355367440, 181370804507130015569
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
COMMENT
|
See A088956 for the definition of the hyperbinomial transform.
|
|
FORMULA
|
a(n) = sum(k=0, n, (n-k+1)^(n-k-1)*C(n, k)). E.g.f. A(x) = exp(x+sum(n>=1, n^(n-1)*x^n/n!)).
E.g.f.: -LambertW(-x)*exp(x)/x. - Vladeta Jovovic (vladeta(AT)eunet.rs), Oct 27 2003
|
|
EXAMPLE
|
a(5) = 1296+625+160+30+5+1 = sum of row 5 of triangle A088956.
|
|
CROSSREFS
|
Cf. A088956 (triangle).
Row sums of A144289. [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), Jun 01 2009]
Sequence in context: A107375 A020126 A124529 this_sequence A030538 A076978 A079615
Adjacent sequences: A088954 A088955 A088956 this_sequence A088958 A088959 A088960
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Paul D. Hanna (pauldhanna(AT)juno.com), Oct 26 2003
|
|
|
Search completed in 0.002 seconds
|
