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Search: id:A090288
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| A090288 |
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a(n) = K_2(n) = Sum_{k>=0} A090285(2,k)*2^k*binomial(n,k). a(n) = 2*n^2+6*n+2. |
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+0
2
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| 2, 10, 22, 38, 58, 82, 110, 142, 178, 218, 262, 310, 362, 418, 478, 542, 610, 682, 758, 838, 922, 1010, 1102, 1198, 1298, 1402, 1510, 1622, 1738, 1858, 1982, 2110, 2242, 2378, 2518, 2662, 2810, 2962, 3118, 3278, 3442, 3610, 3782, 3958, 4138, 4322, 4510
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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Values of polynomial K_2 related to A090285.
a(n)= 2*A028387(n)
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FORMULA
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O.g.f.: 2*(-1-2*x+x^2)/(-1+x)^3. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 02 2008
a(n)=4*n+a(n-1), (with a(1)=2) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Oct 24 2009]
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EXAMPLE
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For n=2, a(2)=4*2+2=10; n=3, a(3)=4*3+10=22; n=4, a(4)=4*4+22=38 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Oct 24 2009]
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MATHEMATICA
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Array[ -#*(2-#*2)-2&, 5!, 2] [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Dec 21 2008]
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CROSSREFS
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Cf. A028387 A090285.
Sequence in context: A138298 A119153 A065450 this_sequence A032526 A096183 A079605
Adjacent sequences: A090285 A090286 A090287 this_sequence A090289 A090290 A090291
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KEYWORD
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easy,nonn
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AUTHOR
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DELEHAM Philippe (kolotoko(AT)wanadoo.fr), Jan 25 2004
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EXTENSIONS
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Corrected by T. D. Noe (noe(AT)sspectra.com), Nov 12 2006
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