|
|
A360536
|
|
Analog of Rudin-Shapiro sum sequence A020990, based on counting patterns 00 instead of 11.
|
|
1
|
|
|
1, 0, 1, 0, -1, -2, -1, -2, -1, 0, 1, 0, -1, -2, -1, -2, -3, -4, -5, -4, -5, -6, -5, -6, -5, -4, -3, -4, -5, -6, -5, -6, -5, -4, -3, -4, -3, -2, -3, -2, -1, 0, 1, 0, -1, -2, -1, -2, -3, -4, -5, -4, -5, -6, -5, -6, -5, -4, -3, -4, -5, -6, -5, -6, -7, -8, -9
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,6
|
|
COMMENTS
|
a(n) = Sum_{i=0..n} (-1)^(i+e(i)), where e(i) counts the (possibly overlapping) occurrences of 00 in the base-2 representation of n. Note that e(0) = 0. This is the analog of A020990, which is the same sum, but with e(n) replaced by the function that counts the (possibly overlapping) occurrences of 11 in the base-2 representation of n.
|
|
LINKS
|
|
|
CROSSREFS
|
|
|
KEYWORD
|
sign
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|