A132823 A007318 + 2*A103451 - 2*A000012.

1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 4, 2, 1, 1, 3, 8, 8, 3, 1, 1, 4, 13, 18, 13, 4, 1, 1, 5, 19, 33, 33, 19, 5, 1, 1, 6, 26, 54, 68, 54, 26, 6, 1, 1, 7, 34, 82, 124, 124, 82, 34, 7, 1, 1, 8, 43, 118, 208, 250, 208, 118, 43, 8, 1, 1, 9, 53, 163, 328, 460, 460, 328, 163, 53, 9, 1

Offset

0,12

Comments

Row sums = A132824: (1, 2, 2, 4, 10, 24, 54, 116, 242, ...).

Links

Table of n, a(n) for n=0..77.

Formula

A007318 + 2*A103451 - 2*A000012 as infinite lower triangular matrices.

Example

First few rows of the triangle:
  1;
  1, 1;
  1, 0,  1;
  1, 1,  1,  1;
  1, 2,  4,  2,   1;
  1, 3,  8,  8,   3,   1;
  1, 4, 13, 18,  13,   4,  1;
  1, 5, 19, 33,  33,  19,  5,  1;
  1, 6, 26, 54,  68,  54, 26,  6, 1;
  1, 7, 34, 82, 124, 124, 82, 34, 7, 1;
  ...

Crossrefs

Cf. A007318, A103451, A000012, A132824.

A(2n,n) gives A115112 for n>0.

Sequence in context: A052285 A046858 A225812 * A059317 A322046 A247644

Adjacent sequences: A132820 A132821 A132822 * A132824 A132825 A132826

Keyword

nonn,tabl

Author

Gary W. Adamson, Sep 02 2007

Extensions

One missing 1 inserted and more terms added by Alois P. Heinz, Feb 10 2019

Status

approved