A272654 Binary words beginning with 1 which are abelian squares.

11, 1001, 1010, 1111, 100001, 100010, 100100, 101011, 101101, 101110, 110011, 110101, 110110, 111111, 10000001, 10000010, 10000100, 10001000, 10010011, 10010101, 10010110, 10011001, 10011010, 10011100, 10100011, 10100101, 10100110, 10101001, 10101010, 10101100

Offset: 1

Author

N. J. A. Sloane, May 14 2016

Keywords

• nonn
• base

Comments

Binary strings of the form uv, where u begins with 1 and v is some permutation of u.

Links

• Chai Wah Wu, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A272653, A272655.

Programs

Python

from sympy.utilities.iterables import multiset_permutations
A272654_list = [int(b+''.join(s)) for b in (bin(n)[2:] for n in range(1,100)) for s in multiset_permutations(sorted(b))] # Chai Wah Wu, May 15 2016

Extensions

More terms from Chai Wah Wu, May 15 2016