A127243 - OEIS

%I #7 Aug 04 2023 04:34:32

%S 1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,

%T 1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,

%U 0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1

%N Triangle whose k-th column is generated by (1+A010060(1+k)x)*x^k.

%e Triangle begins:

%e   1;

%e   1, 1;

%e   0, 1, 1;

%e   0, 0, 0, 1;

%e   0, 0, 0, 1, 1;

%e   0, 0, 0, 0, 0, 1;

%e   0, 0, 0, 0, 0, 0, 1;

%e   0, 0, 0, 0, 0, 0, 1, 1;

%e   0, 0, 0, 0, 0, 0, 0, 1, 1;

%e   0, 0, 0, 0, 0, 0, 0, 0, 0, 1;

%e   0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1;

%e   ...

%t T[n_, k_] := SeriesCoefficient[(1 + ThueMorse[1 + k]*x)*x^k, {x, 0, n}]; Table[T[n, k], {n, 0, 12}, {k, 0, n}] // Flatten (* _Amiram Eldar_, Aug 04 2023 *)

%Y Inverse is A127244.

%Y Row sums are 1+A010060(n) = A001285(n).

%K easy,nonn,tabl

%O 0,1

%A _Paul Barry_, Jan 10 2007

%E More terms from _Amiram Eldar_, Aug 04 2023