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A141291 a(n) = 4*a(n-1) + 2*n-1 3
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; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..23.

Index entries for linear recurrences with constant coefficients, signature (6, -9, 4).

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, 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, Feb 02 2010]

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).

CROSSREFS

Cf. A141290.

Sequence in context: A066810 A262600 A034577 * A278027 A225895 A089106

Adjacent sequences:  A141288 A141289 A141290 * A141292 A141293 A141294

KEYWORD

nonn

AUTHOR

Gary W. Adamson, Jun 22 2008

EXTENSIONS

Corrected definition. Corrected formula. - Paolo P. Lava, Oct 07 2008

More terms from R. J. Mathar, Feb 02 2010

STATUS

approved

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Last modified January 19 21:35 EST 2018. Contains 297938 sequences.