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A153638 Odiousness of triangular numbers. 0
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 (list; graph; refs; listen; history; internal format)
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.

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: A030213 A132151 A103588 * A122415 A109017 A110161

Adjacent sequences:  A153635 A153636 A153637 * A153639 A153640 A153641

KEYWORD

nonn

AUTHOR

Tanya Khovanova (tanyakh(AT)yahoo.com), Dec 29 2008

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Last modified February 13 02:37 EST 2012. Contains 205435 sequences.