what is the general equation for this series / pattern? - MathOverflow [closed]most recent 30 from http://mathoverflow.net2013-05-24T09:40:47Zhttp://mathoverflow.net/feeds/question/81849http://www.creativecommons.org/licenses/by-nc/2.5/rdfhttp://mathoverflow.net/questions/81849/what-is-the-general-equation-for-this-series-patternwhat is the general equation for this series / pattern?Rodrigo2011-11-25T05:12:15Z2011-11-25T05:12:15Z
<pre><code> for an arbitrary word, how can we derive "i" given the pattern below?
for a (i = 1)
a
for ab (i = 3)
a
ab
b
for abc (i = 6)
a
ab
abc
b
bc
c
for abcd (i = 10)
a
ab
abc
abcd
b
bc
bcd
c
cd
d
for abcde (i = 15)
a
ab
abc
abcd
abcde
b
bc
bcd
bcde
c
cd
cde
d
de
e
</code></pre>