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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; refs; listen; history; internal format)
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OFFSET
| 0,1
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LINKS
| P. De Geest, Palindromic Quasipronics of the form n(n+x)
Index entries for sequences related to linear recurrences with constant coefficients, signature (3,-3,1).
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FORMULA
| a(n) = 2*n+a(n-1)+5 (with a(0)=3). - Vincenzo Librandi, Aug 05 2010
Contribution by Bruno Berselli, Sep 02 2011: (Start)
G.f.: (x+1)*(3-2*x)/(1-x)^3.
a(n) = a(-n-6).
a(n) mod (n+1) == n-1. (End)
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MATHEMATICA
| s=0; lst={}; Do[s+=n; If[(s-6)>0, AppendTo[lst, s-6]], {n, 1, 6!, 2}]; lst [From Vladimir Orlovsky, May 25 2009]
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PROG
| (Other) SAGE:[lucas_number2(2, n, 3) for n in xrange(3, 50)]# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Mar 12 2009]
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CROSSREFS
| Sequence in context: A178996 A127852 A064027 * A010896 A135446 A160002
Adjacent sequences: A028875 A028876 A028877 * A028879 A028880 A028881
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KEYWORD
| nonn,easy
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AUTHOR
| Patrick De Geest (pdg(AT)worldofnumbers.com)
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EXTENSIONS
| Definition corrected by Omar E. Pol, Jul 27 2009
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