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Search: id:A104498
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| A104498 |
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Expansion of (1/2)(1-sqrt(1-8x)/sqrt(1-4x)). |
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+0
2
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| 0, 1, 5, 26, 141, 798, 4706, 28820, 182461, 1188406, 7926102, 53910828, 372671250, 2610977388, 18498911268, 132310178472, 953981219997, 6926326243110, 50593306470542, 371528742549692, 2741187564459910, 20310150708154564
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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Hankel transform of a(n+1) is (1,1,1,...).
Hankel transform of a(n+2) is A001653(n+1) with g.f. (5-x)/(1-6x+x^2).
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FORMULA
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a(n)=0^n/2-A104497(n)/2
a(n+1)=(1/pi)*int(x^n*sqrt(8-x)/(2*sqrt(x-4)),x,4,8);
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CROSSREFS
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Cf. A138240.
Sequence in context: A005573 A081911 A081187 this_sequence A045379 A053487 A082029
Adjacent sequences: A104495 A104496 A104497 this_sequence A104499 A104500 A104501
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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 11 2005, Mar 07 2008
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