A143425 Triangle read by rows A051731 * A130123, 1<=k<=n.

1, 1, 2, 1, 0, 4, 1, 2, 0, 8, 1, 0, 0, 0, 16, 1, 2, 4, 0, 0, 32, 1, 0, 0, 0, 0, 0, 64, 1, 2, 0, 8, 0, 0, 0, 128, 1, 0, 4, 0, 0, 0, 0, 0, 256, 1, 2, 0, 0, 16, 0, 0, 0, 0, 512, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1024, 1, 2, 4, 8, 0, 32, 0, 0, 0, 0, 0, 2048

Offset

1,3

Comments

Row sums = A034729: (1, 3, 5, 11, 17, ...).

Links

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

Formula

Triangle read by rows A051731 * A130123, 1<=k<=n, where A130123 = an infinite lower triangular matrix with (1, 2, 4, 8, ...) in the main diagonal and the rest zeros. A051731 = the inverse Mobius transform.

Example

First few rows of the triangle are:
  1;
  1, 2;
  1, 0, 4;
  1, 2, 0, 8;
  1, 0, 0, 0, 16;
  1, 2, 4, 0,  0, 32;
  ...

Prog

(PARI) tabl(nn) = {ma = matrix(nn, nn, n, k, !(n%k)); mb = matrix(nn, nn, n, k, n--; k--; if (n==k, 2^n, 0)); m = ma*mb; for (n=1, nn, for (k=1, n, print1(m[n, k], ", "); ); print(); ); } \\ Michel Marcus, Jun 30 2017

Crossrefs

Cf. A034729, A051731, A130123.

Sequence in context: A140882 A334044 A143724 * A323376 A166555 A136329

Adjacent sequences: A143422 A143423 A143424 * A143426 A143427 A143428

Keyword

nonn,tabl

Author

Gary W. Adamson, Aug 14 2008

Extensions

Typo in data corrected by Michel Marcus, Jun 30 2017

Status

approved