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

0,3

Links

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

Formula

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

Example

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

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

Crossrefs

Cf. A134511.

Sequence in context: A071019 A173285 A025084 * A106523 A007068 A121720

Adjacent sequences: A134509 A134510 A134511 * A134513 A134514 A134515

Keyword

nonn

Author

Gary W. Adamson, Oct 28 2007

Extensions

More terms from Robert Israel, Mar 02 2018

Status

approved