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

1,1

Comments

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

Links

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

Example

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

Prog

(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

Crossrefs

Cf. A272653, A272654.

Sequence in context: A226468 A283871 A240927 * A333440 A056524 A110745

Adjacent sequences: A272652 A272653 A272654 * A272656 A272657 A272658

Keyword

nonn,base

Author

N. J. A. Sloane, May 14 2016

Extensions

More terms from Chai Wah Wu, May 15 2016

Status

approved