A089688 Table T(n,k), n>=0 and k>=1, read by antidiagonals; the k-th row is defined by : partitions of k*n into powers of k (with T(0,k) = 1).
1, 1, 1, 1, 2, 1, 1, 4, 2, 1, 1, 6, 3, 2, 1, 1, 10, 5, 3, 2, 1, 1, 14, 7, 4, 3, 2, 1, 1, 20, 9, 6, 4, 3, 2, 1, 1, 26, 12, 8, 5, 4, 3, 2, 1, 1, 36, 15, 10, 7, 5, 4, 3, 2, 1, 1, 46, 18, 12, 9, 6, 5, 4, 3, 2, 1, 1, 60, 23, 15, 11, 8, 6, 5, 4, 3, 2, 1
Offset: 0
Examples
Row k = 1 : 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, ... (see A000012). Row k = 2 : 1, 2, 4, 6, 10, 14, 20, 26, 36, 46, 60, 74, ... (see A000123). Row k = 3 : 1, 2, 3, 5, 7, 9, 12, 15, 18, 23, 28, 33, ... (see A005704). Row k = 4 : 1, 2, 3, 4, 6, 8, 10, 12, 15, 18, 21, 24, ... (see A005705). Row k = 5 : 1, 2, 3, 4, 5, 7, 9, 11, 13, 15, 18, 21, ... (see A005706).
Links
- Alois P. Heinz, Table of n, a(n) for n = 0..10010