|
Search: id:A024427
|
|
|
| A024427 |
|
S(n,1) + S(n-1,2) + +S(n-2,3) + ... + S(n+1-k,k), where k=[ (n+1)/2 ] and S(i,j) are Stirling numbers of second kind. |
|
+0
5
|
|
| 1, 1, 2, 4, 9, 22, 58, 164, 495, 1587, 5379, 19195, 71872, 281571, 1151338, 4902687, 21696505, 99598840, 473466698, 2327173489, 11810472444, 61808852380, 333170844940, 1847741027555
(list; graph; listen)
|
|
|
OFFSET
|
1,3
|
|
|
FORMULA
|
G.f.: sum{k>=0, x^(2k)/prod[l=1..k, 1-lx]}. - R. Stephan, Apr 18 2004
a(n)=sum(stirling2(n-1-i,i), i=0..n-2), n>=3 - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jan 31 2008
|
|
MAPLE
|
with(combinat):seq(sum(stirling2(n-1-i, i), i=0..n-2), n=3..26); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jan 31 2008
|
|
CROSSREFS
|
Sequence in context: A124380 A059019 A121953 this_sequence A092920 A035053 A000571
Adjacent sequences: A024424 A024425 A024426 this_sequence A024428 A024429 A024430
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Clark Kimberling (ck6(AT)evansville.edu)
|
|
|
Search completed in 0.002 seconds
|
