A308248 Squares of automorphic numbers in base 6 (cf. A237583).

0, 1, 9, 16, 81, 784, 6561, 18496, 1478656, 43046721, 281165824, 893352321, 5859137025, 41368305664, 405026597889, 1088266240000, 15965210931201, 36991307874304, 583272781383681, 1318789102698496

Offset

1,3

Links

Table of n, a(n) for n=1..20.

Formula

a(n) = A237583(n)^2. - Michel Marcus, May 17 2019

Example

784 = 3344_6 and sqrt(3344_6) = 44_6. Hence 784 is in the sequence.

Prog

(Sage) [(n * n) for n in (0..1000000) if (n * n).str(base = 6).endswith(n.str(base = 6))]

Crossrefs

Cf. A237583.

Sequence in context: A167349 A267763 A340164 * A179307 A014720 A138238

Adjacent sequences: A308245 A308246 A308247 * A308249 A308250 A308251

Keyword

nonn,base

Author

Jeremias M. Gomes, May 17 2019

Status

approved