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A134512
Row sums of triangle A134511.
2
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
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
KEYWORD
nonn
AUTHOR
Gary W. Adamson, Oct 28 2007
EXTENSIONS
More terms from Robert Israel, Mar 02 2018
STATUS
approved