A254336 Powers of 10 in base 60, concatenating the decimal values of the sexagesimal digits.

1, 10, 140, 1640, 24640, 274640, 4374640, 46174640, 742574640, 11709374640, 125136174640, 2083602574640, 21260029374640, 334200456174640, 3543204922574640, 55713281349374640, 593214421816174640, 9552227030242574640, 139134430302709374640, 1632172505043136174640, 24522541050451602574640

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 100 appears as "140" and not "0140".

Links

Michael De Vlieger, Table of n, a(n) for n = 0..600

Formula

a(n) = A055643(A011557(n)). - Michel Marcus, Mar 02 2015

Example

a(3) = 1640, since 10^3 = 1000 = 16 * 60^1 + 40, thus 16:40 in clock-like notation, which becomes 1640 when restricted to numeric characters.

Mathematica

f[n_] := FromDigits@ StringJoin[If[# < 10, StringJoin["0", ToString[#]],
ToString[#]] & /@ IntegerDigits[10^n, 60]]; Table[f@ i, {i, 0, 20}] (* Michael De Vlieger, Jan 28 2015 *)

Prog

(PARI) a(n) = subst(Pol(digits(10^n, 60)), x, 100); \\ Michel Marcus, Feb 22 2015

Crossrefs

Cf. A011557 (Powers of 10), A055643 (Babylonian numbers).

Cf. Sexagesimal representations: A250073 (Powers of 2), A254334 (Powers of 3), A254335 (Powers of 5).

Sequence in context: A362515 A089834 A132505 * A215289 A319578 A051618

Adjacent sequences: A254333 A254334 A254335 * A254337 A254338 A254339

Keyword

nonn,base

Author

Michael De Vlieger, Jan 28 2015

Status

approved