A211969 Triangle of decimal equivalents of binary numbers with some initial repeats, A211968.

3, 6, 7, 10, 12, 13, 14, 15, 20, 21, 24, 25, 26, 27, 28, 29, 30, 31, 36, 40, 41, 42, 43, 45, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 72, 73, 80, 81, 82, 83, 84, 85, 86, 87, 90, 91, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106

Offset

2,1

Links

Alois P. Heinz, Rows n = 2..14, flattened

Index entries for sequences related to curling numbers

Example

Irregular triangle begins, starting at row 2:
3;
6, 7;
10, 12, 13, 14, 15;
20, 21, 24, 25, 26, 27, 28, 29, 30, 31;
36, 40, 41, 42, 43, 45, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63;

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 true fi od; false end, s(n)))[] end:
seq (T(n), n=2..7);  # Alois P. Heinz, Dec 04 2012

Crossrefs

Complement of A211967.

Row lengths give: A093370.

Column 1 gives: A005418(n+1).

Right border gives: A000225(n).

Cf. A093370, A093371, A121880, A122536, A211027, A211029, A211973, A216955.

Sequence in context: A188073 A286806 A297125 * A173059 A189387 A091087

Adjacent sequences: A211966 A211967 A211968 * A211970 A211971 A211972

Keyword

nonn,tabf

Author

Omar E. Pol, Dec 03 2012

Status

approved