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A141291
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a(n) = 4*a(n-1) + 2*n-1
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2
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0, 1, 7, 33, 139, 565, 2271, 9097, 36403, 145629, 582535, 2330161, 9320667, 37282693, 149130799, 596523225, 2386092931, 9544371757, 38177487063, 152709948289, 610839793195, 2443359172821, 9773436691327, 39093746765353
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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FORMULA
| a(n) = 4*a(n-1) + 2*n-1, given a(0) = 0, a(1) = 1. Row sums of triangle A141290 starting with offset 1.
a(n)=-(5/9)-(2/3)*n+(5/9)*4^n, with n>=0 [From Paolo P. Lava (paoloplava(AT)gmail.com), Oct 07 2008]
a(n)= 6*a(n-1) -9*a(n-2) +4*a(n-3). G.f.: x*(1+x)/((1-4*x)*(x-1)^2). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 02 2010]
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EXAMPLE
| a(4) = 139 = 4*a(3) + 7 = 4*33 + 7.
a(4) = 139 = sum of row 4 terms of triangle A141290 = (64, + 48 + 20 + 7).
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CROSSREFS
| Cf. A141290.
Sequence in context: A114014 A066810 A034577 * A089106 A155603 A054256
Adjacent sequences: A141288 A141289 A141290 * A141292 A141293 A141294
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KEYWORD
| nonn
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AUTHOR
| Gary W. Adamson (qntmpkt(AT)yahoo.com), Jun 22 2008
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EXTENSIONS
| Corrected definition. Corrected formula. - Paolo P. Lava (paoloplava(AT)gmail.com), Oct 07 2008
More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 02 2010
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