OFFSET
1,3
COMMENTS
There exist cases where a(n) < a(n-1). Some examples are n = 53, 77, 113, 125, ...
There may exist multiple partitions of n = k1 + k2 + ... + km, where a(n) = A001055(k1) + A001055(k2) + ... + A001055(km). The number of such partitions is A350032(n).
It appears that a(n) - log(A066739(n)) > 0.
If the definition of this sequence would allow k1 = k2 = km, then this sequence would be the trivial sequence a(n) = n instead.
LINKS
Thomas Scheuerle, Examples for n = 1 to 100.
EXAMPLE
PROG
(PARI) A350029(n, K=0) = { my(a=A001055(n)); while(n>2*K+=1, a=max(A001055(K)+A350029(n-K, K), a) ); a } \\ M. F. Hasler, Dec 09 2021
CROSSREFS
KEYWORD
nonn
AUTHOR
Thomas Scheuerle, Dec 09 2021
STATUS
approved