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A133306 (1/n)*Sum[i=0..n-1,C(n,i)*C(n,i-1)*5^i*6^(n-i)], a(0)=1 . 4
1, 6, 66, 906, 13926, 229326, 3956106 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

Sixth column of array A103209 .

The Hankel transform of this sequence is 30^C(n+1,2). - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Oct 28 2007

FORMULA

G.f.: [1-z-(z^2-22z+1)^(1/2)]/(10z). a(n) = Sum_{k, 0<=k<=n}A088617(n,k)*5^k . a(n) = Sum_{k, 0<=k<=n} A060693(n,k)*5^(n-k). a(n) = Sum_{k, 0<=k<=n}C(n+k, 2k)5^k*C(k), C(n) given by A000108 .

a(0)=1, a(n)=a(n-1)+5*Sum_{k, 0<=k<=n-1}a(k)*a(n-1-k) . - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Oct 23 2007

CROSSREFS

Cf. A000108 A060693 A103209 A103210 A103211.

Sequence in context: A130977 A191096 A151832 * A169715 A128319 A174496

Adjacent sequences:  A133303 A133304 A133305 * A133307 A133308 A133309

KEYWORD

nonn

AUTHOR

Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Oct 18 2007

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Last modified February 17 14:50 EST 2012. Contains 206050 sequences.