login
A340529
Irregular triangle read by rows T(n,k), (n >= 1, k >= 1), in which row n has length A000041(n-1) and every column k is A006218.
3
1, 3, 5, 1, 8, 3, 1, 10, 5, 3, 1, 1, 14, 8, 5, 3, 3, 1, 1, 16, 10, 8, 5, 5, 3, 3, 1, 1, 1, 1, 20, 14, 10, 8, 8, 5, 5, 3, 3, 3, 3, 1, 1, 1, 1, 23, 16, 14, 10, 10, 8, 8, 5, 5, 5, 5, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 27, 20, 16, 14, 14, 10, 10, 8, 8, 8, 8, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1
OFFSET
1,2
FORMULA
a(m) = A006218(A336811(m)).
T(n,k) = A006218(A336811(n,k)).
EXAMPLE
Triangle begins:
1;
3;
5, 1;
8, 3, 1;
10, 5, 3, 1, 1;
14, 8, 5, 3, 3, 1, 1;
16, 10, 8, 5, 5, 3, 3, 1, 1, 1, 1;
20, 14, 10, 8, 8, 5, 5, 3, 3, 3, 3, 1, 1, 1, 1;
23, 16, 14, 10, 10, 8, 8, 5, 5, 5, 5, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1;
...
For n = 6, the length of row 6 is A000041(5) = 7.
The sum of row 6 is 14 + 8 + 5 + 3 + 3 + 1 + 1 = 35, equaling A006128(6).
CROSSREFS
Row sums give A006128.
Cf. A340525 (a regular version).
Members of the same family are: A336811, A339278, A339304, A340423.
Sequence in context: A236631 A302800 A367067 * A197326 A235605 A212695
KEYWORD
nonn,tabf
AUTHOR
Omar E. Pol, Jan 10 2021
STATUS
approved