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A131352 Row sums of triangle A133935. 1
1, 2, 6, 14, 32, 72, 160, 352, 768, 1664, 3584, 7680, 16384, 34816, 73728, 155648, 327680, 688128, 1441792, 3014656, 6291456, 13107200, 27262976, 56623104, 117440512, 243269632, 503316480, 1040187392, 2147483648, 4429185024 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Harvey P. Dale, Table of n, a(n) for n = 0..1000

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

FORMULA

Binomial transform of A093178: (1, 1, 3, 1, 5, 1, 7, 1...)

a(n) = A129954(n), n>1. G.f.: (1-2x+2x^2-2x^3)/(1-2x)^2. [R. J. Mathar, Dec 13 2008]

a(n) = 2^(n-2)*(n+4) for n>1. - _Colin Barker, Jun 05 2012

EXAMPLE

a(3) = 14 = sum of row 3 terms of triangle A133935: (1 + 3 + 9 + 1); = (1, 3, 3, 1) dot (1, 1, 3, 1).

MATHEMATICA

CoefficientList[Series[(1-2x+2x^2-2x^3)/(1-2x)^2, {x, 0, 40}], x] (* or *) LinearRecurrence[{4, -4}, {1, 2, 6, 14}, 40] (* Harvey P. Dale, Dec 04 2021 *)

CROSSREFS

Cf. A133935, A093178.

Sequence in context: A096238 A074878 A065495 * A232230 A294780 A051485

Adjacent sequences: A131349 A131350 A131351 * A131353 A131354 A131355

KEYWORD

nonn,easy

AUTHOR

Gary W. Adamson, Sep 29 2007

EXTENSIONS

Extended by R. J. Mathar, Dec 13 2008

STATUS

approved

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Last modified December 4 23:05 EST 2022. Contains 358572 sequences. (Running on oeis4.)