A361227 Irregular triangle T(n, k), n > 0, k = 0..A007814(n), read by rows: T(n, k) = Sum_{i = n-2^k+1..n} A361144(i).

1, 2, 3, 4, 5, 9, 12, 6, 7, 13, 8, 10, 18, 31, 43, 11, 14, 25, 15, 17, 32, 57, 16, 19, 35, 20, 21, 41, 76, 133, 176, 22, 23, 45, 24, 26, 50, 95, 27, 28, 55, 29, 30, 59, 114, 209, 33, 34, 67, 36, 37, 73, 140, 38, 39, 77, 40, 42, 82, 159, 299, 508, 684, 44, 46, 90

Offset: 1

Author

Rémy Sigrist, Mar 05 2023

Keywords

• nonn
• tabf

Comments

This sequence gives the sums underlying A361144: the n-th row corresponds to the sums where A361144(n) is the last term.

Each integer appears once in this sequence.

Examples

			Triangle T(n, k) begins:
  n   n-th row
  --  ----------------
   1   1
   2   2,  3
   3   4
   4   5,  9, 12
   5   6
   6   7, 13
   7   8
   8  10, 18, 31, 43
   9  11
  10  14, 25
  11  15
  12  17, 32, 57
		

Links

• Rémy Sigrist, Table of n, a(n) for n = 1..8191
• Rémy Sigrist, C++ program
• Index entries for sequences that are permutations of the natural numbers

Crossrefs

Cf. A007814, A361144.

Formula

T(n, 0) = A361144(n).