A011750 Expansion of (1 + x^2)/(1 + x + x^2 + x^3 + x^5) mod 2.

1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn

Links

• Michael Gilleland, Some Self-Similar Integer Sequences
• R. Gold, Characteristic linear sequences and their coset functions, J. SIAM Applied. Math., 14 (1966), 980-985.
• Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

Programs

Maple

series((1+x^2)/(1+x+x^2+x^3+x^5),x,100) mod 2;

Mathematica

Mod[CoefficientList[Series[(1+x^2)/(1+x+x^2+x^3+x^5) ,{x,0,80}],x],2] (* Harvey P. Dale, May 26 2025 *)