A129262 Triangle read by rows, A007318 * A115361.

1, 2, 1, 3, 2, 1, 5, 4, 3, 1, 9, 8, 6, 4, 1, 16, 15, 11, 10, 5, 1, 27, 26, 21, 20, 15, 6, 1, 44, 43, 42, 36, 35, 21, 7, 1, 73, 72, 84, 64, 70, 56, 28, 8, 1, 130, 129, 162, 120, 127, 126, 84, 36, 9, 1, 251, 250, 297, 240, 220, 252, 210, 120, 45, 10, 1, 507, 506, 518, 495, 385, 463, 462, 330, 165, 55, 11, 1

Offset

1,2

Comments

Row sums = A106461, binomial transform of the Tower of Hanoi sequence: (1, 3, 6, 13, 28, ...). Left column = A119968, binomial transform of the Fredholm-Rueppel sequence: (1, 2, 3, 5, 9, 16, 27, ...). A129263 = A115361 * A007318.

Links

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

Formula

Binomial transform of A115361.

Example

First few rows of the triangle:
  1;
  2,  1;
  3,  2,  1;
  5,  4,  3,  1;
  9,  8,  6,  4,  1;
 16, 15, 11, 10,  5,  1;
 27, 26, 21, 20, 15,  6,  1;
 44, 43, 42, 36, 35, 21,  7,  1;
  ...

Crossrefs

Cf. A007318, A1153611, A10646, A119968, A128807.

Sequence in context: A320973 A058400 A131344 * A322263 A279394 A308509

Adjacent sequences: A129259 A129260 A129261 * A129263 A129264 A129265

Keyword

nonn,tabl

Author

Gary W. Adamson, Apr 06 2007

Extensions

Terms a(23) and following corrected by Georg Fischer, Jul 04 2023

Status

approved