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A027693 a(n) = n^2 + n + 8. 6
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; text; internal format)
OFFSET

0,1

LINKS

Muniru A Asiru, Table of n, a(n) for n = 0..4000

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

Index entries for linear recurrences with constant coefficients, signature (3, -3, 1).

FORMULA

a(n) = 2*n + a(n-1) (with a(0)=8). - Vincenzo Librandi, 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). - Harvey P. Dale, Dec 13 2011

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

MAPLE

with (combinat):seq(fibonacci(3, n)+n+7, n=0..46); # Zerinvary Lajos, Jun 07 2008

MATHEMATICA

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

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

PROG

(PARI) a(n)=n^2+(n+8) \\ Charles R Greathouse IV, Jun 17 2017

(GAP) List([0..50], n->n^2+n+8); # Muniru A Asiru, Jul 15 2018

CROSSREFS

Cf. A002061, A002378, A002522.

Sequence in context: A262708 A134321 A326386 * A196226 A250290 A228946

Adjacent sequences:  A027690 A027691 A027692 * A027694 A027695 A027696

KEYWORD

nonn,easy

AUTHOR

Patrick De Geest

STATUS

approved

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Last modified December 13 06:26 EST 2019. Contains 329968 sequences. (Running on oeis4.)