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A104531 Expansion of (1+sqrt(1-4x))/(5sqrt(1-4x)-3). 0
1, 4, 24, 148, 920, 5736, 35808, 223668, 1397496, 8732920, 54575888, 341082504, 2131706864, 13322959888, 83267756400, 520420803060, 3252620324280, 20328841669080, 127055130786960, 794094089779800, 4963086293860560 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

Apply the Riordan matrix ((1+sqrt(1-4x))/2,(1-sqrt(1-4x))/2) (inverse of (1/(1-x),x(1-x))) to 5^n.

FORMULA

a(n)=0^n+sum{k=0..n, 4^(k+1)*C(2n-1, n-k-1)2(k+1)/(n+k+1)

CROSSREFS

Cf. A088218, A067336, A076025, A104530, A104532.

Sequence in context: A052609 A077613 A072949 * A045738 A192806 A192927

Adjacent sequences:  A104528 A104529 A104530 * A104532 A104533 A104534

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Mar 12 2005

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Last modified February 17 16:49 EST 2012. Contains 206058 sequences.