A394328 Irregular triangle read by rows: exponents of the primes in the prime factorization of A394167(n) (primes in increasing order).

1, 1, 1, 4, 1, 4, 0, 2, 4, 2, 2, 4, 2, 1, 3, 12, 1, 1, 3, 12, 8, 0, 2, 10, 7, 5, 2, 10, 4, 4, 1, 5, 14, 9, 3, 1, 5, 14, 6, 2, 0, 4, 6, 11, 4, 1, 7, 4, 6, 11, 8, 7, 6, 3, 5, 32, 6, 6, 5, 3, 5, 32, 2, 4, 4, 2, 4, 8, 26, 18, 3, 3, 2, 4, 8, 26, 14, 1, 2, 1, 3, 7, 9

Offset

2,4

Comments

All prime factors p_i of A394167(n) satisfy p_i <= n, so the row length is A000720(n).

Links

Table of n, a(n) for n=2..84.

A.H.M. Smeets, First 300 rows, printed row by row.

Example

The irregular triangle T(n,m) begins:
   \   m   1   2   3   4   5   6   7   8
   n\p_m   2   3   5   7  11  13  17  19 = A000040(m)
   0
   1
   2       1
   3       1   1
   4       4   1
   5       4   0   2
   6       4   2   2
   7       4   2   1   3
   8      12   1   1   3
   9      12   8   0   2
  10      10   7   5   2
  11      10   4   4   1   5
  12      14   9   3   1   5
  13      14   6   2   0   4   6
  14      11   4   1   7   4   6
  15      11   8   7   6   3   5
  16      32   6   6   5   3   5
  17      32   2   4   4   2   4   8
  18      26  18   3   3   2   4   8
  19      26  14   1   2   1   3   7   9

Crossrefs

Cf. A000040, A000720, A394167.

Cf. A394329, A394330, A394331 (columns 1..3).

Sequence in context: A152890 A143354 A324026 * A171539 A106141 A082999

Adjacent sequences: A394325 A394326 A394327 * A394329 A394330 A394331

Keyword

nonn,tabf

Author

A.H.M. Smeets, Mar 16 2026

Status

approved