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

0,2

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".

Links

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

Formula

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

Example

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.

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 *)

Prog

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

Crossrefs

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

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

Sequence in context: A330198 A346269 A337041 * A193939 A352075 A229810

Adjacent sequences: A254332 A254333 A254334 * A254336 A254337 A254338

Keyword

nonn,base

Author

Michael De Vlieger, Jan 28 2015

Status

approved