A153638 Odiousness of triangular numbers.

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

Offset

0,1

Comments

The odiousness of a number is equal to 1 if the number is odious, meaning that it has an odd number of ones in its binary expansion. Otherwise, it is zero.

Links

Table of n, a(n) for n=0..104.

Example

a(2) is 0, because the second triangular number is 3, which in binary is 11 and has an even number of ones.

Mathematica

od[n_] := Mod[Count[IntegerDigits[n, 2], 1], 2] Table[od[n (n + 1)/2], {n, 0, 128}]

Crossrefs

A000217 Triangular numbers.

Sequence in context: A288596 A284745 A103588 * A122415 A241666 A324539

Adjacent sequences: A153635 A153636 A153637 * A153639 A153640 A153641

Keyword

nonn

Author

Tanya Khovanova, Dec 29 2008

Status

approved