A144183 Triangle read by rows, A144182 * A000012

1, 1, 1, 3, 1, 1, 9, 5, 3, 3, 11, 15, 11, 9, 9, 17, 17, 21, 17, 11, 11, 35, 43, 43, 47, 35, 17, 17, 57, 73, 81, 81, 93, 57, 35, 35, 91, 75, 91, 99, 99, 135, 91, 57, 57, 161, 161, 145, 161, 185, 185, 229, 161, 91, 91, 275, 243, 243, 227, 275, 347, 347, 415, 275, 161, 161

Offset

0,4

Comments

Left border = A144181: (1, 1, 3, 9, 11, 17, 35,...) = INVERT transform of A118434. Right border = A144181 shifted.

Links

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

Formula

Triangle read by rows, A144182 * A000012; (equivalent to taking partial row sums

of A144182 starting from the right). A000012 = an infinite lower triangular matrix with all 1's and the rest zeros.

Example

First few rows of the triangle =
1;
1, 1;
3, 1, 1;
9, 5, 3, 3;
11, 15, 11, 9, 9;
17, 17, 21, 17, 11, 11;
35, 43, 43, 47, 35, 17, 17;
57, 73, 81, 81, 93, 57, 35, 35;
91, 75, 91, 99, 99, 135, 91, 57, 57;
...
Row 3 = (9, 5, 3, 3) = partial sums from the right of row 3, triangle A144182: (4, 2, 0, 3).

Crossrefs

A144182, Cf. A144181, A118434

Sequence in context: A145905 A336859 A171435 * A050153 A294950 A294609

Adjacent sequences: A144180 A144181 A144182 * A144184 A144185 A144186

Keyword

nonn,tabl

Author

Gary W. Adamson, Sep 13 2008

Status

approved