A128313 Moebius transform of A007318 (signed).

1, -2, 1, 0, -2, 1, 0, 2, -3, 1, 0, -4, 6, -4, 1, 0, 6, -11, 10, -5, 1, 0, -6, 15, -20, 15, -6, 1, 0, 4, -18, 34, -35, 21, -7, 1, 0, -6, 27, -56, 70, -56, 28, -8, 1, 0, 12, -42, 88, -127, 126, -84, 36, -9, 1, 0, -10, 45, -120, 210, -252, 210, -120, 45, -10, 1, 0, 4, -42, 154, -325, 461, -462, 330, -165, 55, -11, 1

Offset

1,2

Comments

Row sums = mu(n), A008683: (1, -1, -1, 0, -1, 1, ...).

Links

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

Formula

A054525 * A130595.

Example

First few rows of the triangle:
   1;
  -2,  1;
   0, -2,   1;
   0,  2,  -3,  1;
   0, -4,   6, -4,  1;
   0,  6, -11, 10, -5, 1;
  ...

Crossrefs

Cf. A007318, A008683, A054525, A130595.

Sequence in context: A194517 A110658 A002188 * A283486 A330759 A216607

Adjacent sequences: A128310 A128311 A128312 * A128314 A128315 A128316

Keyword

tabl,sign

Author

Gary W. Adamson, Feb 25 2007

Extensions

a(45) = 1 inserted and more terms from Georg Fischer, Jun 05 2023

Status

approved