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A027694 n^2 + n + 9. 4
9, 11, 15, 21, 29, 39, 51, 65, 81, 99, 119, 141, 165, 191, 219, 249, 281, 315, 351, 389, 429, 471, 515, 561, 609, 659, 711, 765, 821, 879, 939, 1001, 1065, 1131, 1199, 1269, 1341, 1415, 1491, 1569, 1649, 1731, 1815, 1901, 1989, 2079, 2171 (list; graph; refs; listen; history; internal format)
OFFSET

0,1

COMMENTS

For n>3: a(n) = A176271(n+1,5). [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Apr 13 2010]

LINKS

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

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

FORMULA

G.f. ( -9+16*x-9*x^2 ) / ( (x-1)^3 ). - R. J. Mathar, Feb 07 2011

a(0) = 9, a(n) = a(n - 1) + 2n. [From Vincenzo Librandi, Feb 07 2011]

MAPLE

with (combinat):seq(fibonacci(3, n)+n+8, n=0..46); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 07 2008

MATHEMATICA

Table[n^2+n+9, {n, 0, 50}]  (* From Harvey P. Dale, Feb 07 2011 *)

CROSSREFS

Cf. A002522.

Sequence in context: A113339 A037009 A163096 * A063191 A048464 A075824

Adjacent sequences:  A027691 A027692 A027693 * A027695 A027696 A027697

KEYWORD

nonn,easy

AUTHOR

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

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