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A005605 a(n) = a(n-1) + (-1)^(n-1) * a(n-2)^2.
(Formerly M0176)
+0
2
0, 1, 1, 2, 1, 5, 4, 29, 13, 854, 685, 730001, 260776, 532901720777, 464897598601, 283984244007552571082330, 67854466822576053925129, 80647050844541158378200602801460469923692154029 (list; graph; listen)
OFFSET

0,4

REFERENCES

J. Mestel, Archimedeans Problems Drive 1977, Eureka, 39 (1978), 38-40.

FORMULA

For odd n, a(n) = floor(c^(2^((n-5)/2))) where c = 5.40649051189479721671529024151000148043062587729806430849172463824709059699198634362266484243.... - Gerald McGarvey (gerald.mcgarvey(AT)comcast.net), Dec 08 2004

The alternating version of this sequence, b(n) = (-1)^(n-1)*a(n) = 0,1,-1,2,-1,5,-4,29,-13,..., satisfies b(n) = b(n-2)^2 - b(n-1). - Franklin T. Adams-Watters (FrankTAW(AT)Netscape.net), Feb 27 2007

CROSSREFS

Adjacent sequences: A005602 A005603 A005604 this_sequence A005606 A005607 A005608

Sequence in context: A079285 A124660 A141485 this_sequence A111785 A021468 A033282

KEYWORD

nonn,easy,nice

AUTHOR

njas

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Last modified October 9 14:06 EDT 2008. Contains 144831 sequences.


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