A272655 Numbers whose decimal expansion is an abelian square.

11, 22, 33, 44, 55, 66, 77, 88, 99, 1001, 1010, 1111, 1212, 1221, 1313, 1331, 1414, 1441, 1515, 1551, 1616, 1661, 1717, 1771, 1818, 1881, 1919, 1991, 2002, 2020, 2112, 2121, 2222, 2323, 2332, 2424, 2442, 2525, 2552, 2626, 2662, 2727, 2772, 2828, 2882, 2929, 2992

Offset: 1

Author

N. J. A. Sloane, May 14 2016

Keywords

• nonn
• base

Comments

Decimal numbers of the form uv where the decimal digits of v are some permutation of the decimal digits of u.

Examples

			12344132 is a member because v = 4132 is a permutation of u = 1234.
		

Links

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

Crossrefs

Cf. A272653, A272654.

Programs

Python

from sympy.utilities.iterables import multiset_permutations
A272655_list = [int(str(n)+''.join(s)) for n in range(1,100) for s in multiset_permutations(sorted(str(n)))] # Chai Wah Wu, May 15 2016

Extensions

More terms from Chai Wah Wu, May 15 2016