A169859 a(n) = smallest nontrivial square (i.e., not a multiple of 10) with at least n identical adjacent digits.

1, 144, 1444, 1666681, 111112681, 3333330225, 132922222225, 1433333333961, 2582708888888881, 28777777777780164, 88888888888905609, 2222222222222640225, 2222222222222640225, 4777777777777776827176356, 20193204988888888888888804, 174881683455555555555555556, 175246811111111111111111080489, 9935069953444444444444444444176

Offset

1,2

Links

Table of n, a(n) for n=1..18.

Example

a(3) = 1444 because it has 3 adjacent 4's and no square less than 1444 has 3 adjacent digits which are the same.

Crossrefs

Cf. A137416.

Sequence in context: A222515 A023096 A223435 * A137416 A109117 A209205

Adjacent sequences: A169856 A169857 A169858 * A169860 A169861 A169862

Keyword

nonn,base

Author

Jon E. Schoenfield, May 14 2010

Extensions

a(14)-a(18) from Max Alekseyev, Dec 29 2024

Status

approved