|
| |
|
|
A135749
|
|
a(n) = Sum_{k=0..n} C(n,k)*(n-k)^k*k^k.
|
|
0
| |
|
|
1, 1, 3, 19, 217, 3821, 95761, 3214975, 137501505, 7226764921, 455941716481, 33983083953611, 2954163633223969, 296027886705639973, 33823026186790043841, 4363561123325076879991, 630392564294402819207041
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,3
|
|
|
FORMULA
| a(n) = n!*[x^n] Sum_{k=0..n} exp((n-k)*x)^k * x^k/k!.
|
|
|
PROG
| (PARI) {a(n)=sum(k=0, n, binomial(n, k)*(n-k)^k*k^k)} (PARI) {a(n)=n!*polcoeff(sum(k=0, n, exp((n-k)*k*x +x*O(x^n))*x^k/k!), n)}
|
|
|
CROSSREFS
| Sequence in context: A000275 A058165 A074707 * A005647 A158876 A001833
Adjacent sequences: A135746 A135747 A135748 * A135750 A135751 A135752
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| Paul D. Hanna (pauldhanna(AT)juno.com), Nov 27 2007
|
| |
|
|
