A050735 Numbers of form 5^k (values of k see A050726) containing no pair of consecutive equal digits (probably finite).

1, 5, 25, 125, 625, 3125, 15625, 78125, 390625, 1953125, 9765625, 6103515625, 30517578125, 152587890625, 762939453125, 3814697265625, 19073486328125, 95367431640625, 476837158203125, 2384185791015625, 7450580596923828125

Offset

0,2

Comments

The largest term may be 5^32=23283064365386962890625; there are no further terms up to and including 5^10,000. - Harvey P. Dale, Feb 11 2025

Links

Table of n, a(n) for n=0..20.

Mathematica

Select[5^Range[0, 100], FreeQ[Differences[IntegerDigits[#]], 0]&] (* Harvey P. Dale, Feb 11 2025 *)

Crossrefs

Subsequence of A000351.

Cf. A043096, A050726.

Sequence in context: A102169 A060391 A000351 * A195948 A083590 A372956

Adjacent sequences: A050732 A050733 A050734 * A050736 A050737 A050738

Keyword

nonn,base

Author

Patrick De Geest, Sep 15 1999

Status

approved