A134512 Row sums of triangle A134511.

1, 1, 3, 4, 10, 14, 32, 46, 99, 145, 299, 444, 887, 1331, 2595, 3926, 7508, 11434, 21526, 32960, 61251, 94211, 173173, 267384, 486925, 754309, 1362627, 2116936, 3797374, 5914310, 10543724, 16458034, 29180067, 45638101, 80521055, 126159156, 221610563, 347769719, 608468451, 956238170, 1667040776

Offset: 0

Author

Gary W. Adamson, Oct 28 2007

Keywords

• nonn

Examples

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

Links

• Robert Israel, Table of n, a(n) for n = 0..1999

Crossrefs

Cf. A134511.

Programs

Maple

N:= 100: # for the first N terms
T128174:= Matrix(N, N, (i, j) -> `if`(j<=i, (i-j+1) mod 2, 0)):
T049310:= Matrix(N, N):
for i from 1 to N do
     P:= orthopoly[U](i-1, x/2);
     for j from 1 to i do
       T049310[i, j]:= abs(coeff(P, x, j-1))
     od
od:
convert(T049310 . (T128174 . Vector(N,1)),list); # Robert Israel, Mar 02 2018

Formula

Empirical g.f.: (1-x^2)^2/((1+x-x^2)*(1-x-x^2)^2). - Robert Israel, Mar 02 2018

Extensions

More terms from Robert Israel, Mar 02 2018