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Row sums of triangle A132478.
2

%I #16 Feb 21 2023 10:38:30

%S 1,5,16,32,64,128,256,512,1024,2048,4096,8192,16384,32768,65536,

%T 131072,262144,524288,1048576,2097152,4194304,8388608,16777216,

%U 33554432,67108864,134217728,268435456,536870912,1073741824,2147483648,4294967296,8589934592

%N Row sums of triangle A132478.

%H <a href="/index/Rec#order_01">Index entries for linear recurrences with constant coefficients</a>, signature (2).

%F a(0) = 1, a(2) = 5, a(n) = 2^(n+2) for n > 1.

%F G.f.: -(1 + 3*x + 6*x^2)/(-1 + 2*x). - _R. J. Mathar_, Nov 14 2007

%F E.g.f.: 4*exp(2*x) - 3*(1 + x). - _Stefano Spezia_, Feb 20 2023

%e a(3) = 32 = sum of row 3 terms of triangle A132478: (4 + 9 + 18 + 1).

%e a(3) = 32 = 2^5.

%Y Cf. A000079, A132478.

%K nonn,easy

%O 0,2

%A _Gary W. Adamson_, Aug 23 2007

%E More terms from _Stefano Spezia_, Feb 20 2023