A254335 Powers of 5 in base 60, concatenating the decimal values of the sexagesimal digits.

1, 5, 25, 205, 1025, 5205, 42025, 214205, 1483025, 9023205, 45124025, 346032205, 1850165025, 13411241205, 75057010025, 391445050205, 3161345251025, 16210847055205, 121454355292025, 648483937264205, 3404031807133025, 25020163036073205, 141141223300374025, 1105826524503082205, 5545214234515415025

Offset: 0

Author

Michael De Vlieger, Jan 28 2015

Keywords

• nonn
• base

Comments

Each sexagesimal digit appears as a pair of decimal digits as on a digital clock. Any leading zeros are truncated. Thus decimal 125 appears as "205" and not "0205".

Examples

			a(4) = 1025, since 5^4 = 625 = 10 * 60^1 + 25, thus 10:25 in clock-like notation, which becomes 1025 when restricted to numeric characters.
		

Links

• Michael De Vlieger, Table of n, a(n) for n = 0..1200

Crossrefs

Cf. A000351 (Powers of 5), A055643 (Babylonian numbers).

Cf. Sexagesimal representations: A250073 (Powers of 2), A254334 (Powers of 3), A254336 (Powers of 10).

Programs

Mathematica

f[n_] := FromDigits@ StringJoin[If[# < 10, StringJoin["0", ToString[#]],
ToString[#]] & /@ IntegerDigits[5^n, 60]]; Table[f@ i, {i, 0, 24}] (* Michael De Vlieger, Jan 28 2015 *)

PARI

a(n) = subst(Pol(digits(5^n, 60)), x, 100); \\ Michel Marcus, Feb 22 2015

Formula

a(n) = A055643(A000351(n)). - Michel Marcus, Mar 02 2015