A211967 Triangle of decimal equivalents of binary numbers with no initial repeats, A211027.

1, 2, 4, 5, 8, 9, 11, 16, 17, 18, 19, 22, 23, 32, 33, 34, 35, 37, 38, 39, 44, 46, 47, 64, 65, 66, 67, 68, 69, 70, 71, 74, 75, 76, 77, 78, 79, 88, 89, 92, 93, 94, 95, 128, 129, 130, 131, 132, 133, 134, 135, 137, 138, 139, 140, 141, 142, 143, 148, 149, 150

Offset

1,2

Links

Alois P. Heinz, Rows n = 1..15, flattened

Index entries for sequences related to curling numbers

Example

Irregular triangle begins:
1;
2;
4,   5;
8,   9, 11;
16, 17, 18, 19, 22, 23;
32, 33, 34, 35, 37, 38, 39, 44, 46, 47;

Maple

s:= proc(n) s(n):= `if`(n=1, [[1]], map(x->
      [[x[], 0], [x[], 1]][], s(n-1))) end:
T:= proc(n) map (x-> add(x[i]*2^(nops(x)-i), i=1..nops(x)), select
      (proc(l) local i; for i to iquo(nops(l), 2) do if l[1..i]=
      l[i+1..2*i] then return false fi od; true end, s(n)))[] end:
seq (T(n), n=1..8);  # Alois P. Heinz, Dec 03 2012

Crossrefs

Columns 1-2 give: A000079(n-1), A000051(n-1) for n>2. Row n has length A093371(n). Right border gives A083329(n-1).

Cf. A122536, A211029, A211968, A211969, A216955.

Sequence in context: A326774 A334265 A334266 * A099628 A346111 A286805

Adjacent sequences: A211964 A211965 A211966 * A211968 A211969 A211970

Keyword

nonn,tabf,base

Author

Omar E. Pol, Nov 30 2012

Status

approved