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A027693 n^2 + (n+8). 2
8, 10, 14, 20, 28, 38, 50, 64, 80, 98, 118, 140, 164, 190, 218, 248, 280, 314, 350, 388, 428, 470, 514, 560, 608, 658, 710, 764, 820, 878, 938, 1000, 1064, 1130, 1198, 1268, 1340, 1414, 1490, 1568, 1648, 1730, 1814, 1900, 1988, 2078, 2170 (list; graph; refs; listen; history; internal format)
OFFSET

0,1

LINKS

P. De Geest, Palindromic Quasi_Over_Squares of the form n^2+(n+X)

FORMULA

a(n)=2*n+a(n-1) (with a(0)=8) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Aug 05 2010]

a(0)=8, a(1)=10, a(2)=14, a(n)=3*a(n-1)-3*a(n-2)+a(n-3) [From Harvey P. Dale, Dec 13 2011]

G.f.: (2*(7-4*x)*x-8)/(x-1)^3 [From Harvey P. Dale, Dec 13 2011]

EXAMPLE

a(1)=2*1+8=10; a(2)=2*2+10=14; a(3)=2*3+14=20 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Aug 05 2010]

MAPLE

with (combinat):seq(fibonacci(3, n)+n+7, n=0..46); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 07 2008

MATHEMATICA

f[n_]:=n^2+n+8; f[Range[0, 100]] (*From Vladimir Joseph Stephan Orlovsky, Mar 12 2011*)

LinearRecurrence[{3, -3, 1}, {8, 10, 14}, 60] (* From Harvey P. Dale, Dec 13 2011 *)

CROSSREFS

Cf. A002061, A002378, A002522.

Sequence in context: A060864 A087695 A134321 * A196226 A100718 A063190

Adjacent sequences:  A027690 A027691 A027692 * A027694 A027695 A027696

KEYWORD

nonn

AUTHOR

Patrick De Geest (pdg(AT)worldofnumbers.com)

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Last modified February 13 06:53 EST 2012. Contains 205451 sequences.