1,1

For the 2nd, 5th and 8th term of the sequence, the quadratic residue set of the corresponding prime (5,13,37, of the form 4k+1) has been converted from symmetric to complementarily symmetric as 1001->1010, 101100001101->101100110010, 101100101111000100001000111101001101->101100101111000100110111000010110010, for the others (of the form 4k+3), it is the quadratic residue set encoded as in A055094 (with +1 mapped to 1, and -1 to 0).

A. Karttunen, Illustration of initial terms

a(n) = A063171(A080119(n))

A080120 := n -> convert(A080118(n), binary);

Same sequence in decimal: A080118. Cf. A080114.

Adjacent sequences: A080117 A080118 A080119 this_sequence A080121 A080122 A080123

Sequence in context: A106456 A079214 A080070 this_sequence A006937 A037220 A138484

nonn

Antti Karttunen (my_firstname.my_surname(AT)iki.fi) Feb 11 2003