A211968 Triangle of binary numbers with some initial repeats.

11, 110, 111, 1010, 1100, 1101, 1110, 1111, 10100, 10101, 11000, 11001, 11010, 11011, 11100, 11101, 11110, 11111, 100100, 101000, 101001, 101010, 101011, 101101, 110000, 110001, 110010, 110011, 110100, 110101, 110110, 110111, 111000, 111001, 111010, 111011

Offset

2,1

Comments

Triangle read by rows in which row n lists the binary numbers with n digits and with some initial repeats, n >= 2.

Also triangle read by rows in which row n lists the binary words of length n with some initial repeats and with initial digit 1, n >= 2.

Links

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

Index entries for sequences related to curling numbers

Example

Triangle begins, starting at row 2:
11;
110, 111;
1010, 1100, 1101, 1110, 1111;
10100, 10101, 11000, 11001, 11010, 11011, 11100, 11101, 11110, 11111;

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-> parse(cat(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 in base 2 of A211027.

Rows lengths give: A093370.

Cf. A093370, A093371, A121880, A122536, A211967, A211969, A211973, A216955.

Sequence in context: A103542 A293871 A336880 * A284040 A288293 A288802

Adjacent sequences: A211965 A211966 A211967 * A211969 A211970 A211971

Keyword

nonn,tabf,base

Author

Omar E. Pol, Dec 03 2012

Status

approved