|
| |
|
|
A136546
|
|
Three-part semi-chaotic binary digit sum/product sequence modeled on a Rudin-Shapiro-type sequence like A014081.
|
|
1
| |
|
|
0, 0, 1, 1, 1, 3, 3, 4, 4, 4, 5, 7, 7, 8, 9, 10, 9, 10, 11, 11, 11, 13, 13, 15, 15, 16, 16, 18, 18, 19, 20, 21, 20, 21, 22, 22, 22, 24, 25, 25, 25, 26, 26, 28, 28, 29, 30, 32, 31, 32
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,6
|
|
|
FORMULA
| a(n)=Sum[1 - Mod[n - Floor[n/2^m], 2] + Mod[n - Floor[n/2^m], 2]Mod[n - Floor[n/2^(m - 1)], 2],{m, 1, Floor[(n)*Log[2]]}]
|
|
|
MATHEMATICA
| Clear[s, k, n] k[n_] := Apply[ Plus, Table[1 - Mod[n - Floor[n/2^m], 2] +Mod[n - Floor[n/2^m], 2]Mod[n - Floor[n/2^(m - 1)], 2], {m, 1, Floor[(n)*Log[2]]}]]; a = Table[k[n], {n, 1, 50}]
|
|
|
CROSSREFS
| Cf. A014081.
Sequence in context: A090972 A181742 A179843 * A058729 A021303 A130250
Adjacent sequences: A136543 A136544 A136545 * A136547 A136548 A136549
|
|
|
KEYWORD
| nonn,uned
|
|
|
AUTHOR
| Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Mar 24 2008
|
| |
|
|
