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A140796 a(n)=a(n-1)+6a(n-2), n>2. 2
1, 5, 14, 44, 128, 392, 1160, 3512, 10472, 31544, 94376, 283640, 849896, 2551736, 7651112, 22961528, 68868200, 206637368, 619846568, 1859670776, 5578750184, 16736774840, 50209275944, 150629924984, 451885580648, 1355665130552 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

The binomial transform is A037481.

The recurrence of the definition is also satisfied by A087451, A102901 and A140725.

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (1, 6).

FORMULA

a(n+1)-3a(n) = (-1)^n*A000079(n-1), n>0.

d(n+1)-3d(n) = (-1)^(n+1)*A000079(n-1), n>0, where d(n) is the sequence of pair sums d(n)= a(n)+a(n+1)=6, 19, 58, 172,...

O.g.f.: (1+x)(3x+1)/((2x+1)(1-3x)). - R. J. Mathar, Jul 29 2008

a(n) = (-1)^(n+1)*2^n/10+8*3^n/5, n>0. - R. J. Mathar, Jul 29 2008

a(n) = A140725(n)+A140725(n+1). - Philippe Deléham, Nov 17 2013

MATHEMATICA

Join[{1}, LinearRecurrence[{1, 6}, {5, 14}, 30]] (* Harvey P. Dale, Nov 20 2011 *)

CROSSREFS

Cf. A140725

Sequence in context: A034530 A125246 A302762 * A197212 A100059 A270062

Adjacent sequences:  A140793 A140794 A140795 * A140797 A140798 A140799

KEYWORD

nonn

AUTHOR

Paul Curtz, Jul 15 2008

EXTENSIONS

Edited and extended by R. J. Mathar, Jul 29 2008

STATUS

approved

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Last modified January 19 09:12 EST 2021. Contains 340267 sequences. (Running on oeis4.)