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A133086 Row sums of triangle A133085. 2
1, 4, 10, 26, 64, 152, 352, 800, 1792, 3968, 8704, 18944, 40960, 88064, 188416, 401408, 851968, 1802240, 3801088, 7995392, 16777216, 35127296, 73400320, 153092096, 318767104, 662700032, 1375731712, 2852126720, 5905580032, 12213813248, 25232932864 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..1000

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

FORMULA

Binomial transform of A114753: (1, 3, 3, 7, 5, 11, 7, 15,...).

For n>1, a(n) = 2^n +3*n*2^(n-2). - R. J. Mathar, Apr 04 2012

EXAMPLE

a(3) = 26 = sum of row 3 of triangle A133085: (12 + 8, + 5 + 1).

a(3) = 26 = (1, 3, 3, 1) dot (1, 3, 3, 7) = (1 + 9 + 9 + 7).

MATHEMATICA

Join[{1, 4}, Table[2^n + 3*n*2^(n - 2), {n, 2, 50}]] (* G. C. Greubel, Oct 21 2017 *)

PROG

(PARI) concat([1, 4], for(n=2, 50, print1(2^n + 3*n*2^(n-2), ", "))) \\ G. C. Greubel, Oct 21 2017

(MAGMA) [1, 4] cat [2^n+3*n*2^(n-2): n in [2..30]]; // Vincenzo Librandi, Oct 21 2017

CROSSREFS

Cf. A133085, A114753, A133080.

Sequence in context: A000293 A000294 A308723 * A285186 A178037 A175658

Adjacent sequences:  A133083 A133084 A133085 * A133087 A133088 A133089

KEYWORD

nonn

AUTHOR

Gary W. Adamson, Sep 08 2007

STATUS

approved

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Last modified June 24 17:58 EDT 2019. Contains 324330 sequences. (Running on oeis4.)