A055643 -id:A055643 - cp's OEIS frontend

A131650 Number of symbols in Babylonian numeral representation of n.

1, 2, 3, 4, 5, 6, 7, 8, 9, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 3, 4

Offset: 1

Alain Van Kerckhoven (alain(AT)avk.org), Sep 10 2007

From Wolfdieter Lang, Feb 21 2017: (Start)
For a(1)..a(59) this sequence coincides with A007953.
For the sexagesimal - decimal representation of n see A055643.
The values of the positions is given in A281863.
The sum of the digits of A055643(n) = a(n).
The number of digits of the representation of n is given in A282622. (End)

Wolfdieter Lang, Table of n, a(n) for n = 1..10000
University of St Andrews, Babylonian numerals.
Wikipedia, Babylonian numerals.
Yale Babylonian Collection, High resolution photographs, descriptions and analysis of the root(2) tablet (YBC 7289).

Cf. A006968, A007953, A055643, A281863, A282622.

More terms from Michel Marcus, Jul 12 2013

Terms a(60)-a(81) from Wolfdieter Lang, Feb 21 2017 (to distinguish it from A007953)

A282622 Number of digits of the representation of n in the alternating sexagesimal-decimal number system.

Original entry on oeis.org

1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3

Offset: 1

Wolfdieter Lang, Feb 20 2017

For a(1)..a(59) this sequence coincides with A055642.

For the alternating sexagesimal-decimal number system see a comment in A055643.

Cf. A055642, A281863, A055643.

With[{nn = 120}, IntegerLength[Range@ 120, MixedRadix[Flatten@ ConstantArray[{6, 10}, {2 Ceiling@ Log[60, nn]}]]]] (* Version 10.2, or *)
Table[StringLength@ If[StringTake[#, 1] == "0", StringDrop[#, 1], #] &@ StringJoin@ Map[If[# < 10, StringJoin["0", ToString@ #], ToString@ #] &, IntegerDigits[n, 60]], {n, 120}] (* Michael De Vlieger, Feb 20 2017 *)

a(n) = 1 for n = 1..9, a(n) = 2 for n = 10..59, a(n) = 3 for n = 60..599, a(n) = 4 for n = 600..3600, ..., i.e., a(n) = k, k >= 1, for n = A281863(k-1)..A281863(k)-1.

A091720 Babylonian sexagesimal (base 60) expansion of 1/7.

Original entry on oeis.org

8, 34, 17, 8, 34, 17, 8, 34, 17, 8, 34, 17, 8, 34, 17, 8, 34, 17, 8, 34, 17, 8, 34, 17, 8, 34, 17, 8, 34, 17, 8, 34, 17, 8, 34, 17, 8, 34, 17, 8, 34, 17, 8, 34, 17, 8, 34, 17, 8, 34, 17, 8, 34, 17, 8, 34, 17, 8, 34, 17, 8, 34, 17, 8, 34, 17, 8, 34, 17, 8, 34, 17, 8, 34, 17, 8, 34, 17

Offset: 0

Jeppe Stig Nielsen, Feb 01 2004

Index entries for linear recurrences with constant coefficients, signature (0, 0, 1).

Cf. A020806, A091721, A091722, A055643.

Cf. A159991. - Reinhard Zumkeller, May 02 2009

RealDigits[ 1/7, 60, 75] [[1]] (* Robert G. Wilson v, Feb 02 2004 *)

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A131650 Number of symbols in Babylonian numeral representation of n.

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A282622 Number of digits of the representation of n in the alternating sexagesimal-decimal number system.

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A091720 Babylonian sexagesimal (base 60) expansion of 1/7.

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