|
Search: id:A080954
|
|
| |
|
| 1, 6, 37, 236, 1569, 10970, 81445, 648240, 5576545, 52142030, 531185925, 5891873300, 70946620225, 923526766050, 12935478240325, 194062691183000, 3105155646818625, 52788408935369750, 950195175533921125
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
COMMENT
|
Binomial transform of A053487. 4th Binomial transform of A000522. Fifth binomial transform of n! = A000142.
|
|
FORMULA
|
a(n) = n!Sum{k=0..n, 5^k/k!}
a(n) is the permanent of the n X n matrix with 6's on the diagonal and 1's elsewhere. a(n) = Sum(k=0..n, A008290(n, k)*6^k ). - DELEHAM Philippe (kolotoko(AT)wanadoo.fr), Dec 12 2003
|
|
MAPLE
|
restart:F(x):=exp(5*x)/(1-x): f[0]:=F(x): for n from 1 to 20 do f[n]:=diff(f[n-1], x) od: x:=0: seq(f[n], n=0..18); # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 03 2009]
|
|
CROSSREFS
|
Cf. A008290, A053486, A010842.
Sequence in context: A081188 A154623 A005389 this_sequence A073013 A140712 A079751
Adjacent sequences: A080951 A080952 A080953 this_sequence A080955 A080956 A080957
|
|
KEYWORD
|
easy,nonn
|
|
AUTHOR
|
Paul Barry (pbarry(AT)wit.ie), Feb 26 2003
|
|
|
Search completed in 0.002 seconds
|
