OFFSET
1,3
COMMENTS
Once A229037(n) has been computed, we have the following constraints:
for some n' < n and k' < n' such that n + k = n' + k',
then we also ignore this constraint.
LINKS
Rémy Sigrist, Table of n, a(n) for n = 1..10000
Rémy Sigrist, Scatterplot of the first 100000 terms
Rémy Sigrist, PARI program for A344264
FORMULA
a(n) < n.
EXAMPLE
The first terms, alongside the corresponding value of A229037 (denoted by f(n)) and the new constraints, are:
n a(n) f(n) 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
- ---- ---- - - - - - - - - - -- -- -- -- -- -- -- -- -- --
1 0 1 . . . . . . . . . . . . . . . . . . .
2 1 1 . . 1 . . . . . . . . . . . . . . . .
3 2 2 . . . 3 3 . . . . . . . . . . . . . .
4 2 1 . . . . . 1 1 . . . . . . . . . . . .
5 2 1 . . . . . . . 1 1 . . . . . . . . . .
6 5 2 . . . . . . 3 3 2 3 3 . . . . . . . .
7 5 2 . . . . . . . 2 3 . 2 3 3 . . . . . .
8 7 4 . . . . . . . . 6 6 7 7 6 7 7 . . . .
9 7 4 . . . . . . . . . 4 6 6 7 . 6 7 7 . .
PROG
(PARI) See Links section.
CROSSREFS
KEYWORD
nonn
AUTHOR
Rémy Sigrist, May 13 2021
STATUS
approved