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Search: id:A152601
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A152601 a(n)=sum{k=0..n, C(n+k,2k)*A000108(k)*3^k*2^(n-k)} +0
5
1, 5, 40, 395, 4360, 51530, 637840, 8163095, 107140360, 1434252230, 19507077040, 268796321870, 3744480010960, 52647783144980, 746145741252640, 10648007952942095, 152877753577617160, 2206713692628578030 (list; graph; listen)
OFFSET

0,2

COMMENT

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]

CROSSREFS

Cf. A103211, A103210.

Cf. A088617, A060693 [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Dec 10 2008]

Sequence in context: A052788 A130564 A124555 this_sequence A079158 A061633 A143437

Adjacent sequences: A152598 A152599 A152600 this_sequence A152602 A152603 A152604

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Dec 09 2008

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Last modified December 2 11:54 EST 2009. Contains 167921 sequences.


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