A152736 Triangle read by rows: M*Q, where M = an infinite lower triangular matrix with A140456 in every column: (1, 1, 1, 3, 7, 23, 71, ...) and Q = a matrix with A000085 as the main diagonal the rest zeros.

1, 1, 1, 1, 1, 2, 3, 1, 2, 4, 7, 3, 2, 4, 10, 23, 7, 6, 4, 10, 26, 71, 23, 14, 12, 10, 26, 76, 255, 71, 46, 28, 30, 26, 76, 232, 911, 255, 142, 92, 70, 78, 76, 232, 764, 3535, 911, 510, 284, 230, 182, 228, 232, 764, 2620

Offset

1,6

Comments

An eigentriangle.

Row sums = A000085 starting with offset 1.

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

Links

Table of n, a(n) for n=1..55.

Example

First few rows of the triangle:
      1;
      1,    1;
      1,    1,    2;
      3,    1,    2,    4;
      7,    3,    2,    4,  10;
     23,    7,    6,    4,  10,  26;
     71,   23,   14,   12,  10,  26,  76;
    255,   71,   46,   28,  30,  26,  76, 232;
    911,  255,  142,   92,  70,  78,  76, 232, 764;
   3535,  911,  510,  284, 230, 182, 228, 232, 764, 2620;
  13903, 3535, 1822, 1020, 710, 598, 532, 696, 764, 2620, 9496;
  ...
Row r = (3, 1, 2, 4) = (3*1, 1*1, 1*2, 1*4) = termwise products of (3, 1, 1, 1) and (1, 1, 2, 4), where A000085 = (1, 1, 2, 4, 10, 26, 76, ...).

Crossrefs

Cf. A000085, A140456.

Sequence in context: A364057 A081536 A297497 * A139246 A187247 A131227

Adjacent sequences: A152733 A152734 A152735 * A152737 A152738 A152739

Keyword

eigen,nonn,tabl

Author

Gary W. Adamson, Dec 12 2008

Status

approved