A133544 A007318 * A052474.

1, 1, 2, 1, 4, 4, 1, 6, 12, 7, 1, 8, 24, 28, 12, 1, 10, 40, 70, 60, 13, 1, 12, 60, 140, 180, 78, 14, 1, 14, 84, 245, 420, 273, 98, 15, 1, 16, 112, 392, 840, 728, 392, 120, 16, 1, 18, 144, 588, 1512, 1638, 1176, 540, 144, 18

Offset

1,3

Comments

Right border = A052474: (1, 2, 4, 7, 12, 13, 14, 15, 16, 18, 20, ...).

Row sums = A057153: (1, 3, 9, 26, 73, 194, 485, 1150, ...).

Links

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

Formula

Binomial transform of A052474 as a diagonalized matrix (A052474 as the diagonal of an infinite lower triangular matrix and the rest zeros).

Example

First few rows of the triangle:
  1;
  1,  2;
  1,  4,  4;
  1,  6, 12,   7;
  1,  8, 24,  28,  12;
  1, 10, 40,  70,  60, 13;
  1, 12, 60, 140, 180, 78, 14;
  ...

Crossrefs

Cf. A052474, A057153.

Sequence in context: A136672 A097750 A304623 * A303872 A013609 A154558

Adjacent sequences: A133541 A133542 A133543 * A133545 A133546 A133547

Keyword

nonn,tabl

Author

Gary W. Adamson, Sep 14 2007

Status

approved