A144157 Eigentriangle, row sums = A011782: (1, 1, 2, 4, 8, 16, ...).

1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 4, 3, 2, 1, 2, 0, 8, 5, 3, 2, 2, 4, 0, 16, 8, 5, 3, 4, 4, 8, 0, 32, 13, 8, 5, 6, 8, 8, 16, 0, 64

Offset

0,10

Comments

Row sums = A011782: (1, 1, 2, 4, 8, 16, ...).

Left border = A144157: (1, 0, 1, 1, 2, 3, 5, 8, ...).

Sum of n-th row terms = rightmost term of next row.

Links

Table of n, a(n) for n=0..44.

Formula

Triangle read by rows, A * B. A = an infinite lower triangular decrescendo subsequences triangle with A144157: (1, 0, 1, 1, 2, 3, 5, 8, ...) in every column; and B = (A011782 * 0^(n-k)), 0 <= k <= n = (1; 0,1; 0,0,2; 0,0,0,4; 0,0,0,0,8; ...).

Example

First few rows of the triangle:
   1;
   0, 1;
   1, 0, 1;
   1, 1, 0, 2;
   2, 1, 1, 0, 4;
   3, 2, 1, 2, 0, 8;
   5, 3, 2, 2, 4, 0, 16;
   8, 5, 3, 4, 4, 8,  0, 32;
  13, 8, 5, 6, 8, 8, 16,  0, 64;
  ...
Row 5 = (3, 2, 1, 2, 0, 8) = termwise product of (3, 2, 1, 1, 0, 1) and (1, 1, 1, 2, 4, 8) = (3*1, 2*1, 1*1, 1*2, 0*4, 1*8).

Crossrefs

Sequence in context: A342936 A004564 A300705 * A321400 A004562 A261817

Adjacent sequences: A144154 A144155 A144156 * A144158 A144159 A144160

Keyword

nonn,tabl

Author

Gary W. Adamson, Sep 12 2008

Status

approved