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A014433 a[n] = Sum[ a[i]a[n-i],{i,0,n-1} ], a[ 0 ] = 1, a[ 1 ]=4. 1
1, 4, 4, 20, 52, 228, 804, 3444, 13780, 59588, 253252, 1113556, 4892276, 21860260, 98055780, 444148020, 2021194260, 9257373060, 42583930500, 196811777940, 913015265460, 4251135572580, 19856669967780 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

FORMULA

G.f.:(1+x-sqrt(1-2*x-15*x^2))/(2*x) - C. Ronaldo (aga_new_ac(AT)hotmail.com), Dec 19 2004

a(n) = (-3)^n*(hypergeom([1/2, n+1],[1],8/5)-5*hypergeom([1/2, n],[1],8/5))*(-15)^(1/2)/(10*(n+1)) for n>0 [From Mark van Hoeij (hoeij(AT)math.fsu.edu), Jul 02 2010]

CROSSREFS

Sequence in context: A165559 A180967 A052923 * A191366 A205142 A072696

Adjacent sequences:  A014430 A014431 A014432 * A014434 A014435 A014436

KEYWORD

nonn

AUTHOR

Wouter Meeussen (wouter.meeussen(AT)pandora.be)

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Last modified February 17 23:08 EST 2012. Contains 206085 sequences.