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A123115 Sequence allows us to find Y values of the equation: (X-Y)^4-2XY=0 with X>=Y. +0
1
0, 2, 96, 3430, 117504, 3997418, 135828000, 4614348622, 156753156096, 5324999550290, 180893269972704, 6145046403443638, 208750685752224000, 7091378276778928442, 240898110769066766496, 8183444388129896917150 (list; graph; listen)
OFFSET

0,2

COMMENT

Sequence gives Y values. To find X values: a(n)=c(n)*(1+d(n))which gives: 0,4,108,3500,117912,3999796,135841860,4614429404,...

FORMULA

b(n)=c(n)*(-1+d(n)) with c(0)=0,c(1)=1 and c(n)=6*c(n-1)-c(n-2) d(0)=1,d(1)=3 and d(n)=6*d(n-1)-d(n-2)

For n>=4, a(n) = 40*a(n-1) - 206*a(n-2) + 40*a(n-3) - a(n-4) [From Max Alekseyev (maxale(AT)gmail.com), Nov 13 2009]

CROSSREFS

Cf. A123056.

Sequence in context: A158980 A069121 A157065 this_sequence A119696 A064069 A065128

Adjacent sequences: A123112 A123113 A123114 this_sequence A123116 A123117 A123118

KEYWORD

nonn,new

AUTHOR

Mohamed Bouhamida (bhmd95(AT)yahoo.fr), Sep 28 2006

EXTENSIONS

More terms from Max Alekseyev (maxale(AT)gmail.com), Nov 13 2009

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Last modified December 8 08:31 EST 2009. Contains 170430 sequences.


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