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A027688 n^2 + n + 3. 8
3, 5, 9, 15, 23, 33, 45, 59, 75, 93, 113, 135, 159, 185, 213, 243, 275, 309, 345, 383, 423, 465, 509, 555, 603, 653, 705, 759, 815, 873, 933, 995, 1059, 1125, 1193, 1263, 1335, 1409, 1485, 1563, 1643, 1725, 1809, 1895, 1983, 2073, 2165, 2259 (list; graph; refs; listen; history; internal format)
OFFSET

0,1

COMMENTS

For n>0: a(n) = A176271(n+1,2). [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

a(n)=2*n+a(n-1) (with a(0)=3) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Aug 05 2010]

EXAMPLE

a(1)=2*1+3=5; a(2)=2*2+5=9; a(3)=2*3+9=15; a(4)=2*4+15=23 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Aug 05 2010]

MAPLE

with (combinat):seq(fibonacci(3, n)+n+2, n=0..47); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 07 2008

MATHEMATICA

lst={}; a=3; Do[a=2*n+a; AppendTo[lst, a], {n, 0, 5!}]; lst...and/or... lst={}; Do[a=n^2+n+3; AppendTo[lst, a], {n, 0, 5!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Oct 01 2008]

CROSSREFS

Cf. A002522.

Sequence in context: A095039 A022940 A025207 * A118403 A033498 A147493

Adjacent sequences:  A027685 A027686 A027687 * A027689 A027690 A027691

KEYWORD

nonn,easy

AUTHOR

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

EXTENSIONS

Definition and offset fixed by Franklin T. Adams-Watters (FrankTAW(AT)Netscape.net), Jul 06 2009

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