A134418 - OEIS

%I #11 Jun 29 2023 20:11:53

%S 1,5,14,48,152,496,1600,5184,16768,54272,175616,568320,1839104,5951488

%N Row sums of triangle A134417.

%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (2, 4).

%F Row sums of triangle A134417. Binomial transform of A133632. Inverse binomial transform of A048875.

%F Inverse binomial transform of A048875: (l, 6, 25, 106, 449, ...). - _Gary W. Adamson_, Nov 23 2007

%F G.f.: (1+3*x)/(1-2*x-4*x^2). - _Vladimir Kruchinin_, May 06 2011

%e a(4) = 48 = sum of row 4 terms of triangle A134417: (1 + 12 + 15 + 20).

%e a(4) = 48 = (1, 3, 3, 1) dot (1, 4, 5, 20), given A133632 = (1, 4, 5, 20, 25, 100, ...).

%e a(3) = 14 = (1, -2, 1) dot (1, 6, 25), = (1, -12, 25), where A048875 = (1, 6, 25, 106, 449, 1902, ...).

%Y Cf. A133632, A134417, A048875.

%Y Cf. A048875.

%K nonn

%O 1,2

%A _Gary W. Adamson_, Oct 24 2007