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A028878 a(n) = (n+3)^2 - 6. +0
2
3, 10, 19, 30, 43, 58, 75, 94, 115, 138, 163, 190, 219, 250, 283, 318, 355, 394, 435, 478, 523, 570, 619, 670, 723, 778, 835, 894, 955, 1018, 1083, 1150, 1219, 1290, 1363, 1438, 1515, 1594, 1675, 1758, 1843, 1930, 2019, 2110, 2203, 2298, 2395 (list; graph; listen)
OFFSET

0,1

LINKS

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

FORMULA

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

EXAMPLE

For n=2, a(2)=2*2+3+3=10; n=3, a(3)=2*3+10+3=19; n=4, a(4)=2*4+19+3=30 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 07 2009]

MATHEMATICA

s=0; lst={}; Do[s+=n; If[(s-6)>0, AppendTo[lst, s-6]], {n, 1, 6!, 2}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), May 25 2009]

PROGRAM

(Other) SAGE:[lucas_number2(2, n, 3) for n in xrange(3, 50)]# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Mar 12 2009]

CROSSREFS

Sequence in context: A074178 A127852 A064027 this_sequence A010896 A135446 A160002

Adjacent sequences: A028875 A028876 A028877 this_sequence A028879 A028880 A028881

KEYWORD

nonn,new

AUTHOR

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

EXTENSIONS

Definition corrected by Omar E. Pol (info(AT)polprimos.com), Jul 27 2009

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Last modified December 4 15:11 EST 2009. Contains 170347 sequences.


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