A370762 Triangle read by rows: T(n,k) = 2 * (k mod 2 + 1) * T(n-1,floor(k/2)) + 1 with T(0,0) = 1 for 0 <= k <= 2^n-1.

1, 3, 5, 7, 13, 11, 21, 15, 29, 27, 53, 23, 45, 43, 85, 31, 61, 59, 117, 55, 109, 107, 213, 47, 93, 91, 181, 87, 173, 171, 341, 63, 125, 123, 245, 119, 237, 235, 469, 111, 221, 219, 437, 215, 429, 427, 853, 95, 189, 187, 373, 183, 365, 363, 725, 175, 349, 347, 693, 343, 685, 683, 1365

Offset

0,2

Links

Seiichi Manyama, Rows n = 0..12, flattened

Example

First few rows are:
   1;
   3,  5;
   7, 13, 11,  21;
  15, 29, 27,  53, 23,  45,  43,  85;
  31, 61, 59, 117, 55, 109, 107, 213, 47, 93, 91, 181, 87, 173, 171, 341;

Prog

(PARI) T(n, k) = if(n==0, 1, 2*(k%2+1)*T(n-1, k\2)+1);

Crossrefs

Row sums give A016129.

Columns k=0 gives A000225(n+1).

Cf. A247648.

Sequence in context: A098957 A143245 A018205 * A121047 A152075 A092789

Adjacent sequences: A370759 A370760 A370761 * A370763 A370764 A370765

Keyword

nonn,tabf

Author

Seiichi Manyama, Mar 01 2024

Status

approved