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A099324 Expansion of (1+sqrt(1+4x))/(2(1+x)). +0
2
1, 0, -1, 3, -8, 22, -64, 196, -625, 2055, -6917, 23713, -82499, 290511, -1033411, 3707851, -13402696, 48760366, -178405156, 656043856, -2423307046, 8987427466, -33453694486, 124936258126, -467995871776, 1757900019100, -6619846420552, 24987199492704, -94520750408708 (list; graph; listen)
OFFSET

0,4

COMMENT

Binomial transform is A099323. Second binomial transform is A072100.

Hankel transform is A049347. [From Paul Barry (pbarry(AT)wit.ie), Aug 10 2009]

FORMULA

a(n)=sum{k=0..2n, (2*0^(2n-k)-1)*C(k,floor(k/2))}. [From Paul Barry (pbarry(AT)wit.ie), Aug 10 2009]

CROSSREFS

Cf. A014138.

Sequence in context: A164934 A047926 A014138 this_sequence A117420 A003101 A064443

Adjacent sequences: A099321 A099322 A099323 this_sequence A099325 A099326 A099327

KEYWORD

easy,sign

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Oct 12 2004

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Last modified November 24 23:16 EST 2009. Contains 167481 sequences.


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