OFFSET
1,2
COMMENTS
In the example, the last value in the Mobius transform of [1,2,3,5,8] is 7 and so the next term in our sequence is 8+7=15. Then, the Mobius transform of [1,2,3,5,8,15] is [1,1,2,3,7,11], which means that the next term of our sequence is 15+11=26, etc.
EXAMPLE
For example, the Mobius transform of the segment [1,2,3,5,8] begins [1,1,2,3], which are the first differences of these terms.
MAPLE
with(numtheory): F:={1}: f:=n->F[n]: g:=n->sum(mobius(divisors(n)[j])*f(n/divisors(n)[j]), j=1..tau(n)): for n from 1 to 35 do F:=F union {F[nops(F)]+g(n)} od: G:=sort(convert(F, list)); # Emeric Deutsch, Feb 15 2005
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Mark Hudson (mrmarkhudson(AT)hotmail.com), Dec 03 2004
EXTENSIONS
Corrected and extended by Emeric Deutsch, Feb 15 2005
STATUS
approved