A174064 Irregular triangle, row sums = n.

1, 2, 1, 2, 0, 4, 2, 2, 1, 4, 0, 2, 2, 4, 1, 0, 0, 8, 0, 0, 1, 4, 2, 0, 2, 2, 0, 4, 0, 4, 1, 2, 2, 0, 2, 4, 0, 4, 0, 0, 0, 8, 0, 2, 1, 0, 4, 4, 2, 0, 0, 2, 0, 8, 0, 4, 0, 0, 1, 0, 4, 8, 2, 0, 0, 0, 0, 0, 0, 16, 0, 0, 2, 0, 0, 0, 2, 8, 4, 0, 1, 4, 0, 0, 0, 4, 0, 8, 0, 2, 2, 4, 0, 0, 2, 4, 4, 0, 1, 2, 0, 8, 0, 0, 0

Offset

1,2

Comments

Column 1 = A174026.

The triangle begins 1, 2,...then all columns >1 are shifted down twice from previous column. Next term in column 1 = n - (sum of terms in n-th row, columns >1). Terms of the triangle for columns >1 are filled in as a product of column 1 * column 1.

Links

Table of n, a(n) for n=1..105.

Example

Triangle begins:
  1;
  2;
  1, 2;
  0, 4;
  2, 2, 1;
  4, 0, 2;
  2, 4, 1, 0;
  0, 8, 0, 0;
  1, 4, 2, 0, 2;
  2, 0, 4, 0, 4;
  1, 2, 2, 0, 2, 4;
  0, 4, 0, 0, 0, 8;
  0, 2, 1, 0, 4, 4, 2;
  0, 0, 2, 0, 8, 0, 4;
  0, 0, 1, 0, 4, 8, 2, 0;
  0, 0, 0, 0, 0, 16, 0, 0;
  2, 0, 0, 0, 2, 8, 4, 0, 1;
  4, 0, 0, 0, 4, 0, 8, 0, 2;
  2, 4, 0, 0, 2, 4, 4, 0, 1, 2;
  0, 8, 0, 0, 0, 8, 0, 0, 0, 4;
  ...
Example: Leftmost term in column 9 = 1 = (9 - (4 + 2 + 0 + 2)). Then the "1" is entered into the top heading as a multiplier. Multiply, filling in more terms, then obtain next term of left border as before.

Crossrefs

Cf. A174026, A174064.

Sequence in context: A187150 A023895 A070963 * A139158 A308209 A366403

Adjacent sequences: A174061 A174062 A174063 * A174065 A174066 A174067

Keyword

nonn,tabf,uned

Author

Gary W. Adamson, Mar 06 2010

Status

approved