A138895 Triangle read by rows: T(n,k) = A092892(n-k) for 0 <= k <= n.

1, 2, 1, 4, 2, 1, 8, 4, 2, 1, 5, 8, 4, 2, 1, 3, 5, 8, 4, 2, 1, 6, 3, 5, 8, 4, 2, 1, 12, 6, 3, 5, 8, 4, 2, 1, 24, 12, 6, 3, 5, 8, 4, 2, 1, 17, 24, 12, 6, 3, 5, 8, 4, 2, 1, 11, 17, 24, 12, 6, 3, 5, 8, 4, 2, 1

Offset

0,2

Comments

Matrix in Toeplitz form related to the Collatz (3x + 1) algorithm.

Row sums are A138847. Antidiagonal sums are A138848.

Links

Table of n, a(n) for n=0..65.

Example

Triangle begins
   1;
   2,  1;
   4,  2,  1;
   8,  4,  2,  1;
   5,  8,  4,  2,  1;
   3,  5,  8,  4,  2,  1;
   6,  3,  5,  8,  4,  2,  1;
  12,  6,  3,  5,  8,  4,  2,  1;
  24, 12,  6,  3,  5,  8,  4,  2,  1;
  17, 24, 12,  6,  3,  5,  8,  4,  2,  1;
  11, 17, 24, 12,  6,  3,  5,  8,  4,  2,  1;
  ...

Crossrefs

Cf. A092892 (1st column), A138847, A138848.

Sequence in context: A140740 A091918 A177953 * A138846 A235670 A130321

Adjacent sequences: A138892 A138893 A138894 * A138896 A138897 A138898

Keyword

easy,nonn,tabl

Author

Paul Barry, Apr 02 2008

Extensions

Edited by Georg Fischer, Jul 28 2023

Status

approved