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A145020
a(n) = ((7 + sqrt(7))^n - (7 - sqrt(7))^n)^2/28.
1
1, 196, 23716, 2458624, 239754256, 22776846400, 2139058352704, 199857257119744, 18630079167234304, 1734834007938712576, 161472109634377851904, 15026063825688651366400, 1398142606021059701641216, 130088526161280783306735616, 12103697669810647281455742976
OFFSET
1,2
FORMULA
From R. J. Mathar, Sep 30 2008: (Start)
G.f.: x*(1+42*x)/((1-42*x)*(1-112*x+1764*x^2)).
a(n) = 154*a(n-1) - 6468*a(n-2) + 74088*a(n-3). (End)
PROG
(Magma) Z<x>:=PolynomialRing(Integers()); N<r7>:=NumberField(x^2-7); [ Integers()!a: a in [ ((7+r7)^n-(7-r7)^n)^2/28: n in [1..12] ] ]; // Klaus Brockhaus, Oct 20 2008
CROSSREFS
Sequence in context: A035834 A114761 A076002 * A333641 A260863 A351683
KEYWORD
nonn,easy
AUTHOR
Al Hakanson (hawkuu(AT)gmail.com), Sep 29 2008
EXTENSIONS
Extended by R. J. Mathar, Sep 30 2008
More terms from Andrew Howroyd, Nov 08 2025
STATUS
approved