|
Search: id:A101850
|
|
|
| A101850 |
|
A Catalan transform of Pell(n+1). |
|
+0
2
|
|
| 1, 2, 7, 26, 100, 392, 1555, 6218, 25006, 100988, 409162, 1661948, 6764194, 27575732, 112570675, 460058906, 1881978694, 7704907724, 31566153058, 129400608044, 530734613920, 2177792579072, 8939838222718, 36711025334948
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
COMMENT
|
A Catalan transform of the Pell numbers A000129(n+1) under the mapping G(x)-> G(xc(x)), c(x) the g.f. of A000108. The inverse mapping is H(x)->H(x(1-x)).
|
|
FORMULA
|
G.f.: 2/(3sqrt(1-4x)+2x-1); a(n)=sum{k=0..n, (k/(2n-k))binomial(2n-k, n-k)A000129(k+1)}.
a(n)=Sum_{k, 0<=k<=n} A039599(n,k)*A016116(k). [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Oct 29 2008]
|
|
CROSSREFS
|
Cf. A081696, A026641.
Sequence in context: A126223 A114121 A049775 this_sequence A045868 A129482 A150536
Adjacent sequences: A101847 A101848 A101849 this_sequence A101851 A101852 A101853
|
|
KEYWORD
|
easy,nonn
|
|
AUTHOR
|
Paul Barry (pbarry(AT)wit.ie), Dec 18 2004
|
|
|
Search completed in 0.002 seconds
|
