A128316 Triangle read by rows: A000012 * A128315 as infinite lower triangular matrices.

1, 1, 1, 3, -1, 1, 2, 3, -2, 1, 4, -1, 4, -3, 1, 4, 3, -5, 7, -4, 1, 6, -3, 10, -13, 11, -5, 1, 4, 8, -14, 23, -24, 16, -6, 1, 7, -2, 15, -33, 46, -40, 22, -7, 1, 7, 4, -15, 47, -79, 86, -62, 29, -8, 1, 9, -6, 30, -73, 131, -166, 148, -91, 37, -9, 1, 7, 12, -37, 103, -204, 297, -314, 239, -128, 46, -10, 1

Offset

1,4

Comments

Row sums = n; A128316 * [1,2,3...] = A000034: [1,2,1,2,...].

Left column = A059851: (1, 1, 3, 2, 4, 4, 6, 4, 7, 7, ...)

Links

Table of n, a(n) for n=1..78.

Example

First few rows of the triangle:
  1;
  1,  1;
  3, -1,   1;
  2,  3   -2,   1;
  4, -1,   4,  -3,   1;
  4,  3,  -5,   7,  -4,  1;
  6, -3,  10, -13,  11, -5,  1;
  4,  8, -14,  23, -24, 16, -6, 1;
  ...

Crossrefs

Cf. A000034, A000012, A059851, A128315.

Sequence in context: A030727 A278564 A269973 * A065836 A078712 A287218

Adjacent sequences: A128313 A128314 A128315 * A128317 A128318 A128319

Keyword

tabl,sign

Author

Gary W. Adamson, Feb 25 2007

Extensions

a(28) = 1 inserted and more terms from Georg Fischer, Jun 06 2023

Status

approved