A134512 - OEIS

%I #6 Mar 02 2018 17:36:35

%S 1,1,3,4,10,14,32,46,99,145,299,444,887,1331,2595,3926,7508,11434,

%T 21526,32960,61251,94211,173173,267384,486925,754309,1362627,2116936,

%U 3797374,5914310,10543724,16458034,29180067,45638101,80521055,126159156,221610563,347769719,608468451,956238170,1667040776

%N Row sums of triangle A134511.

%H Robert Israel, <a href="/A134512/b134512.txt">Table of n, a(n) for n = 0..1999</a>

%F Empirical g.f.: (1-x^2)^2/((1+x-x^2)*(1-x-x^2)^2). - _Robert Israel_, Mar 02 2018

%e a(4) = 10 = sum of row 4 terms of triangle A134511: (5 + 0 + 4 + 0 + 1).

%p N:= 100: # for the first N terms

%p T128174:= Matrix(N, N, (i, j) -> `if`(j<=i, (i-j+1) mod 2, 0)):

%p T049310:= Matrix(N, N):

%p for i from 1 to N do

%p      P:= orthopoly[U](i-1, x/2);

%p      for j from 1 to i do

%p        T049310[i, j]:= abs(coeff(P, x, j-1))

%p      od

%p od:

%p convert(T049310 . (T128174 . Vector(N,1)),list); # _Robert Israel_, Mar 02 2018

%Y Cf. A134511.

%K nonn

%O 0,3

%A _Gary W. Adamson_, Oct 28 2007

%E More terms from _Robert Israel_, Mar 02 2018