A259153 Triangle T(n,k) in which n-th row lists in increasing order the values v whose pi-based arithmetic derivative equals n; n>=0, 1<=k<=A259154(n).

0, 1, 2, 3, 5, 4, 7, 11, 13, 6, 17, 19, 23, 29, 10, 31, 8, 9, 37, 41, 43, 14, 47, 53, 59, 61, 15, 67, 12, 71, 22, 73, 79, 83, 89, 26, 97, 21, 101, 103, 107, 109, 25, 113, 34, 127, 16, 20, 131, 18, 137, 139, 38, 149, 151, 33, 157, 163, 167, 173, 35, 46, 179

Offset

0,3

Links

Alois P. Heinz, Rows n = 0..12000, flattened

Formula

A258851(T(n,k)) = n.

T(n,1) = A258861(n).

T(n,A259154(n)) = A008578(n+1).

T(n,A259154(n)) = A000040(n) for n>0.

Example

Triangle T(n,k) begins:
   0,  1;
   2;
   3;
   5;
   4,  7;
  11;
  13;
   6, 17;
  19;
  23;
  29;
  10, 31;
   8,  9, 37;

Crossrefs

Column k=1 gives A258861.

Last elements of rows give A008578(n+1).

Row lengths give A259154.

Row sums give A259155.

Cf. A000040, A000720, A258851.

Sequence in context: A075300 A329821 A353266 * A355066 A028691 A246353

Adjacent sequences: A259150 A259151 A259152 * A259154 A259155 A259156

Keyword

nonn,tabf

Author

Alois P. Heinz, Jun 19 2015

Status

approved