A135830 A000012(signed) * A049310 * A000012.

1, 0, 1, 2, 0, 1, 1, 3, 0, 1, 4, 1, 4, 0, 1, 4, 7, 1, 5, 0, 1, 9, 5, 11, 1, 6, 0, 1, 12, 16, 6, 16, 1, 7, 0, 1, 22, 17, 27, 7, 22, 1, 8, 0, 1, 33, 38, 23, 43, 8, 29, 1, 9, 0, 1

Offset

1,4

Comments

Row sums A010049: (1, 1, 3, 5, 10, 18, 33, ...).

A135831 = A000012 * A000012(signed) * A049310.

Links

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

Formula

A000012(signed) * A049310 * A000012, as infinite lower triangular matrices, where A000012(signed) = (1; -1,1; 1,-1,1; ...).

Example

First few rows of the triangle:
   1;
   0,  1;
   2,  0,  1;
   1,  3,  0,  1;
   4,  1,  4,  0,  1;
   4,  7,  1,  5,  0,  1;
   9,  5, 11,  1,  6,  0,  1;
  12, 16,  6, 16,  1,  7,  0,  1;
  ...

Crossrefs

Cf. A049310, A010049, A135831.

Sequence in context: A082859 A083537 A231353 * A339846 A029353 A064922

Adjacent sequences: A135827 A135828 A135829 * A135831 A135832 A135833

Keyword

nonn,tabl

Author

Gary W. Adamson, Nov 30 2007

Status

approved