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Search: id:A114949
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| 6, 7, 10, 15, 22, 31, 42, 55, 70, 87, 106, 127, 150, 175, 202, 231, 262, 295, 330, 367, 406, 447, 490, 535, 582, 631, 682, 735, 790, 847, 906, 967, 1030, 1095, 1162, 1231, 1302, 1375, 1450, 1527, 1606, 1687, 1770, 1855, 1942, 2031, 2122, 2215, 2310, 2407, 2506
(list; graph; listen)
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OFFSET
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0,1
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FORMULA
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a(n)=3*a(n-1)-3*a(n-2)+a(n-3). G.f.: -(6-11*x+7*x^2)/(x-1)^3 [R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 17 2009]
a(n)=2*n+a(n-1)-3 (with a(1)=6) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 07 2009]
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EXAMPLE
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For n=2, a(2)=2*2+6-3=7; n=3, a(3)=2*3+7-3=10; n=4, a(4)=2*4+10-3=15 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 07 2009]
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MATHEMATICA
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a[n_]:=n^2+6; [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Dec 15 2008]
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PROGRAM
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(PARI) g(n) = for(x=1, n, y=x^2+6; print1(y", "))
(Other) sage: [lucas_number1(3, n, -6) for n in xrange(0, 50)] # Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 16 2009
(Other) sage: [crt(2, -(n^2), 4, 5)-crt(1, -(n^2), 3, 4) for n in xrange(0, 50)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 22 2009]
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CROSSREFS
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A002522, A059100, A117950, A087475, A117951, A117619 [Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 16 2009]
Sequence in context: A083133 A101972 A102727 this_sequence A081359 A015825 A164018
Adjacent sequences: A114946 A114947 A114948 this_sequence A114950 A114951 A114952
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KEYWORD
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easy,nonn,new
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AUTHOR
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Cino Hilliard (hillcino368(AT)gmail.com), Feb 21 2006
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