A134353 Row sums of triangle A134352.

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

Offset

0,2

Links

Table of n, a(n) for n=0..30.

Index entries for linear recurrences with constant coefficients, signature (2,4,-8).

Formula

a(n) = 2^n * A004526(n+2).

From Arkadiusz Wesolowski, Dec 28 2011: (Start)

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

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

G.f.: G(0)/(1-x), where G(k)= 1 + 2*x*(k+1)/(k+2 - 2*x*(k+2)*(k+3)/(2*x*(k+3) + (k+1)/G(k+1) )); (continued fraction). - Sergei N. Gladkovskii, Jul 31 2013

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 *)
LinearRecurrence[{2, 4, -8}, {1, 2, 8}, 40] (* Harvey P. Dale, Nov 09 2017 *)

Crossrefs

Cf. A134352, A004526.

Sequence in context: A096227 A191309 A323351 * A280229 A360323 A336127

Adjacent sequences: A134350 A134351 A134352 * A134354 A134355 A134356

Keyword

nonn,easy

Author

Gary W. Adamson, Oct 21 2007

Status

approved