A145973 Triangle read by rows, square of A053121.

1, 0, 1, 2, 0, 1, 0, 4, 0, 1, 7, 0, 6, 0, 1, 0, 18, 0, 8, 0, 1, 29, 0, 33, 0, 10, 0, 1, 0, 86, 0, 52, 0, 12, 0, 1, 131, 0, 179, 0, 75, 0, 14, 0, 1, 0, 427, 0, 316, 0, 102, 0, 16, 0, 1, 625, 0, 972, 0, 505, 0, 133, 0, 18, 0, 1

Offset

0,4

Comments

Left border = aerated version of A007852.

Links

Table of n, a(n) for n=0..65.

Formula

Triangle read by rows, A053121^2.

Example

First few rows of the triangle:
    1;
    0,   1;
    2,   0,   1;
    0,   4,   0,   1;
    7,   0,   6,   0,   1;
    0,  18,   0,   8,   0,   1;
   29,   0,  33,   0,  10,   0,   1;
    0,  86,   0,  52,   0,  12,   0,   1;
  131,   0, 179,   0,  75,   0,  14,   0,   1;
    0, 427,   0, 316,   0, 102,   0,  16,   0,   1;
  625,   0, 972,   0, 505,   0, 133,   0,  18,   0,   1;
  ...

Maple

A145973 := proc(n, k)
    add(A053121(n, j)*A053121(j, k), j=k..n) ;
end proc: # R. J. Mathar, Mar 03 2013

Crossrefs

Cf. A053121.

Cf. A007852, A145974 (row sums).

This triangle is the square of A053121.

Sequence in context: A131321 A111959 A110109 * A155761 A067631 A134317

Adjacent sequences: A145970 A145971 A145972 * A145974 A145975 A145976

Keyword

nonn,tabl

Author

Gary W. Adamson and Roger L. Bagula, Oct 25 2008

Status

approved