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A145528 Numbers x such that (x+91)^3 - x^3 is a square. 1
455, 728182, 1058842239, 1539555953390, 2238513297452887, 3254796794940610374, 4732472301330350096975, 6881011471337534100457342, 10004985946852473251714944359, 14547242685712024770459428706710 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
FORMULA
a(n+2)=1454*a(n+1)-a(n)+66066.
a(1)=455, a(2)=728182, a(3)=1058842239, a(n)=1455*a(n-1)-1455*a(n-2)+ a(n-3). - Harvey P. Dale, Jun 22 2011
G.f.: (91*x*(-5-727*x+6*x^2))/(-1+1455*x-1455*x^2+x^3). - Harvey P. Dale, Jun 22 2011
EXAMPLE
a(1)=455 because the first relation is (455+91)^3 - 455^3 = 8281^2.
MAPLE
f:= gfun:-rectoproc({a(n+2)=1454*a(n+1)-a(n)+66066, a(1)=455, a(2)=728182}, a(n), remember):
map(f, [$1..20]); # Robert Israel, Sep 24 2017
MATHEMATICA
LinearRecurrence[{1455, -1455, 1}, {455, 728182, 1058842239}, 20] (* or *) CoefficientList[Series[(91 (-5-727 x+6 x^2))/(-1+1455 x-1455 x^2+x^3), {x, 0, 20}], x] (* Harvey P. Dale, Jun 22 2011 *)
CROSSREFS
Sequence in context: A282232 A061544 A015276 * A203058 A116331 A099650
KEYWORD
easy,nonn
AUTHOR
Richard Choulet, Oct 12 2008
STATUS
approved

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Last modified April 23 12:55 EDT 2024. Contains 371913 sequences. (Running on oeis4.)