A220090 Braille natural numbers (including zero), using "0" as digit concatenation mark.

245, 1, 12, 14, 145, 15, 124, 1245, 125, 24, 10245, 101, 1012, 1014, 10145, 1015, 10124, 101245, 10125, 1024, 120245, 1201, 12012, 12014, 120145, 12015, 120124, 1201245, 120125, 12024, 140245, 1401, 14012, 14014, 140145, 14015, 140124, 1401245

Offset: 1

Author

Marco Ripà, Dec 04 2012

Keywords

• base
• easy
• nonn

Comments

Let "0" be the digit concatenation mark, it can be replaced with a "SPACE" as well.

XO OO OO OX OO OO

Let us define OO-->1; XO-->2; OO-->3; OO-->4; OX-->5 and OO-->6.

OO OO XO OO OO OX

Examples

			a(0)=245, a(8636)=12501240140124, etc.
		

References

• L. Braille, Method of writing words, music and plain songs by means of dots, for use by the blind and arranged for them, 1829.

Links

• PharmaBraille, Pharmabraille

Formula

Let a(0)=245, a(1)=1, a(2)=12, a(3)=14, a(4)=145, a(5)=15, a(6)=124, a(7)=1245, a(8)=125, a(9)=24, then a(n'n''..._n''''') = a(n'0n''0...0n'''''), where any [n]''...' is an element of [0,1,2,3,4,5,6,7,8,9].