A054213 Smallest fifth powers whose decimal expansion digits occur with same frequency n.

0, 225313610074846875, 312343781246875156246875, 119665765800843104737370354851986949, 2439979134100773706931016420916722663424, 117195225794292252449115584887987847895470100000, 10334956410016814668660393585195309584134568401459883099, 1010431164918909763339703798486498718473866680301776494470190368

Offset: 1

Author

Patrick De Geest, Feb 15 2000

Keywords

• nonn
• base
• hard

Comments

Terms calculated by Jeff Heleen.

Examples

			2955^5 = 225313610074846875 and digits 0, 1, 2, 3, 4, 5, 6, 7, and 8 each occur twice.
		

Links

• Michael S. Branicky, Table of n, a(n) for n = 1..8
• Patrick De Geest, Numbers whose digits occur with same frequency

Crossrefs

Cf. A054212, A052093, A052094, A052069, A052071.

Subsequence of A000584.

Programs

Python

g = agen() # agen() in A054212
print([next(g)**5 for n in range(1, 5)]) # Michael S. Branicky, Dec 17 2020

Extensions

Offset corrected by Michel Marcus, Aug 12 2015

a(6)-a(8) from Michael S. Branicky, Dec 17 2020