A130069 Primes by columns, interspersed with (k-1) zeros.

2, 3, 2, 5, 0, 2, 7, 3, 0, 2, 11, 0, 0, 0, 2, 13, 5, 3, 0, 0, 2, 17, 0, 0, 0, 0, 0, 2, 19, 7, 0, 3, 0, 0, 0, 23, 0, 5, 0, 0, 0, 0, 0, 2, 29, 11, 0, 0, 3, 0, 0, 0, 0, 2

Offset

1,1

Comments

Left column = the primes, A000040; row sums = A007445, (2, 5, 7, 12, 13, 23, ...), the inverse Moebius transform of the primes. A130070 = A130069 with nonzero terms reversed and mapped on A051731.

Links

Table of n, a(n) for n=1..54.

Formula

Primes by columns, interspersed with (k-1) zeros. Map the primes on the "1" terms of A051731, by columns; and rest zeros.

Example

First few rows of the triangle:
  2;
  3,  2;
  5,  0, 2;
  7,  3, 0, 2;
 11,  0, 0, 0, 2;
 13,  5, 3, 0, 0, 2;
 17,  0, 0, 0, 0, 0, 2;
 19,  7, 0, 3, 0, 0, 0, 2;
 23,  0, 5, 0, 0, 0, 0, 0, 2;
 29, 11, 0, 0, 3, 0, 0, 0, 0, 2;
 ...

Crossrefs

Cf. A000040, A051731, A130070.

Sequence in context: A022662 A295703 A059051 * A120007 A092509 A214053

Adjacent sequences: A130066 A130067 A130068 * A130070 A130071 A130072

Keyword

nonn,tabl

Author

Gary W. Adamson, May 05 2007

Status

approved