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A134353 Row sums of triangle A134352. 1
1, 2, 8, 16, 48, 96, 256, 512, 1280, 2560, 6144, 12288, 28672, 57344, 131072, 262144, 589824, 1179648, 2621440, 5242880, 11534336, 23068672, 50331648, 100663296, 218103808, 436207616, 939524096, 1879048192, 4026531840, 8053063680, 17179869184 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

LINKS

Index to sequences with linear recurrences with constant coefficients, signature (2,4,-8).

FORMULA

a(n) = 2^n * A004526(n+2), where A004526 = (1, 1, 2, 2, 3, 3,...) starting with offset 2.

Contribution from Arkadiusz Wesolowski, Dec 28 2011: (Start)

a(n) = 2^n*((2*n + 3)/4 + (-1)^n/4).

G.f.: 1/((1 - 2*x)*(1 - 4*x^2)). (End)

EXAMPLE

a(3) = 16 sum of row 3 terms of triangle A134352: (0 + 8 + 0 + 8).

a(4) = 48 = 2^4 * A004526(6) = 16 * 3.

MATHEMATICA

Table[2^n*((2*n + 3)/4 + (-1)^n/4), {n, 0, 30}] (* Arkadiusz Wesolowski, Dec 28 2011 *)

CROSSREFS

Cf. A134352, A004526.

Sequence in context: A077666 A096227 A191309 * A076508 A162584 A100243

Adjacent sequences:  A134350 A134351 A134352 * A134354 A134355 A134356

KEYWORD

nonn,easy

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), Oct 21 2007

EXTENSIONS

More terms from Arkadiusz Wesolowski, Dec 28 2011

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Last modified February 17 19:13 EST 2012. Contains 206085 sequences.