OFFSET
1,1
COMMENTS
For all nonzero terms a(n), A263083(n) = a(n) + A262509(n) and A155043(A263083(n)) < A155043(A262509(n)) because at each A262509(n) the "distance to zero", A155043 obtains a unique value A262508(n), thus no A049820-iteration trajectory starting from any k larger than A262509(n) and using a greater or equal number of steps to reach zero may bypass A262509(n) [i.e., without going through A262509(n)], because then A262508(n) would not be unique anymore. See also comments in A262909.
FORMULA
Other identities. For all n >= 1:
a(n) <= A262909(n).
PROG
CROSSREFS
KEYWORD
nonn
AUTHOR
Antti Karttunen, Oct 08 2015
STATUS
approved