|
| |
|
|
A152601
|
|
a(n)=sum{k=0..n, C(n+k,2k)*A000108(k)*3^k*2^(n-k)}.
|
|
4
| |
|
|
1, 5, 40, 395, 4360, 51530, 637840, 8163095, 107140360, 1434252230, 19507077040, 268796321870, 3744480010960, 52647783144980, 746145741252640, 10648007952942095, 152877753577617160, 2206713692628578030
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,2
|
|
|
COMMENTS
| Hankel transform is 15^C(n+1,2). a(n)=A152600(n+1)/2.
|
|
|
FORMULA
| a(n)=Sum_{k, 0<=k<=n}A088617(n,k)*3^k*2^(n-k)=Sum_{k, 0<=k<=n}A060693(n,k)*2^k*3^(n-k). [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Dec 10 2008]
a(n)=Sum_{k, 0<=k<=n}A090181(n,k)*5^k*3^(n-k). [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Dec 10 2008]
a(n)=Sum_{k, 0<=k<=n}A131198(n,k)*3^k*5^(n-k). [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Dec 10 2008]
a(n)=Sum_{k, 0<=k<=n}A133336(n,k)*(-2)^k*5^(n-k) = Sum_{k, 0<=k<=n}A086810(n,k)*5^k*(-2)^(n-k). [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Dec 10 2008]
G.f.: 1/(1-5x/(1-3x/(1-5x/(1-3x/(1-5x/(1-3x/(1-5x/(1-... (continued fraction). - DELEHAM Philippe, Nov 28 2011
|
|
|
CROSSREFS
| Cf. A103211, A103210.
Cf. A088617, A060693.
Sequence in context: A052788 A130564 A124555 * A079158 A061633 A143437
Adjacent sequences: A152598 A152599 A152600 * A152602 A152603 A152604
|
|
|
KEYWORD
| easy,nonn
|
|
|
AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Dec 09 2008
|
| |
|
|
