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Search: id:A104531
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| A104531 |
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Expansion of (1+sqrt(1-4x))/(5sqrt(1-4x)-3). |
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+0
1
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| 1, 4, 24, 148, 920, 5736, 35808, 223668, 1397496, 8732920, 54575888, 341082504, 2131706864, 13322959888, 83267756400, 520420803060, 3252620324280, 20328841669080, 127055130786960, 794094089779800, 4963086293860560
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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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.
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FORMULA
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a(n)=0^n+sum{k=0..n, 4^(k+1)*C(2n-1, n-k-1)2(k+1)/(n+k+1)
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CROSSREFS
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Cf. A088218, A067336, A076025, A104530, A104532.
Adjacent sequences: A104528 A104529 A104530 this_sequence A104532 A104533 A104534
Sequence in context: A052609 A077613 A072949 this_sequence A045738 A003288 A091166
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KEYWORD
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easy,nonn
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Mar 12 2005
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