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A028875 n^2 - 5. +0
2
4, 11, 20, 31, 44, 59, 76, 95, 116, 139, 164, 191, 220, 251, 284, 319, 356, 395, 436, 479, 524, 571, 620, 671, 724, 779, 836, 895, 956, 1019, 1084, 1151, 1220, 1291, 1364, 1439, 1516, 1595, 1676, 1759, 1844, 1931, 2020, 2111, 2204, 2299, 2396 (list; graph; listen)
OFFSET

3,1

LINKS

P. De Geest, Palindromic Quasipronics of the form n(n+x)

Eric Weisstein's World of Mathematics, Near-Square Prime

FORMULA

O.g.f.: x^3*(-4+x+x^2)/(-1+x)^3 . a(n) = 3a(n-1)-3a(n-2)+a(n-3). - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 28 2008

a(n)=2*n+a(n-1)+3 (with a(1)=4) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 07 2009]

EXAMPLE

For n=2, a(2)=2*2+4+3=11; n=3, a(3)=2*3+11+3=20; n=4, a(4)=2*4+20+3=31 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 07 2009]

MAPLE

with(combinat, fibonacci):seq(fibonacci(3, i)-6, i=3..49); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Mar 20 2008

MATHEMATICA

lst={}; Do[AppendTo[lst, n^2-5], {n, 0, 6!, 1}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 07 2008]

PROGRAM

(Other) SAGE:[lucas_number2(2, n, 2-n) for n in xrange(2, 49)]# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Mar 12 2009]

CROSSREFS

Sequence in context: A047962 A047961 A159801 this_sequence A008245 A002441 A008053

Adjacent sequences: A028872 A028873 A028874 this_sequence A028876 A028877 A028878

KEYWORD

nonn,new

AUTHOR

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

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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