A175344 Triangle read by rows: The first integer in each row, a(n,1) = n. a(n,m) = the smallest positive integer not yet occurring in row n such that |a(n,m)-a(n,m-1)| = a power of 2, for each m where 1 < m <= n.

1, 2, 1, 3, 1, 2, 4, 2, 1, 3, 5, 1, 2, 3, 4, 6, 2, 1, 3, 4, 5, 7, 3, 1, 2, 4, 5, 6, 8, 4, 2, 1, 3, 5, 6, 7, 9, 1, 2, 3, 4, 5, 6, 7, 8, 10, 2, 1, 3, 4, 5, 6, 7, 8, 9, 11, 3, 1, 2, 4, 5, 6, 7, 8, 9, 10, 12, 4, 2, 1, 3, 5, 6, 7, 8, 9, 10, 11, 13, 5, 1, 2, 3, 4, 6, 7, 8, 9, 10, 11, 12

Offset

1,2

Links

Michael De Vlieger, Table of n, a(n) for n = 1..11325 (1 <= n <= 150)

Example

Triangle begins:
    1
    2   1
    3   1   2
    4   2   1   3
    5   1   2   3   4
    6   2   1   3   4   5
    7   3   1   2   4   5   6
    8   4   2   1   3   5   6   7
    9   1   2   3   4   5   6   7   8
   10   2   1   3   4   5   6   7   8   9
   11   3   1   2   4   5   6   7   8   9   10
   12   4   2   1   3   5   6   7   8   9   10   11
...

Mathematica

Table[Block[{a = {n}, m}, Do[k = 1; While[Or[MemberQ[a, k], ! IntegerQ@ Log2@ Abs[k - a[[m - 1]]] ], k++]; AppendTo[a, k], {m, 2, n}]; a], {n, 14}] // Flatten (* Michael De Vlieger, Dec 14 2016 *)

Crossrefs

Sequence in context: A334431 A342011 A087295 * A056951 A130517 A316715

Adjacent sequences: A175341 A175342 A175343 * A175345 A175346 A175347

Keyword

nonn,tabl

Author

Leroy Quet, Apr 17 2010

Extensions

More terms from Michael De Vlieger, Dec 14 2016

Status

approved