A038506 Floor of decimal expansion of n read as if it were "base e".

1, 2, 3, 4, 5, 6, 7, 8, 9, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 19, 20, 21, 22, 23, 24, 25, 26

Offset: 1

Author

Amarnath Murthy, Nov 14 2002

Keywords

• base
• nonn

Comments

Define e-basing of a decimal number as f(a) = a, f(ab) = Floor[a*e + b], f(abc) = Floor[ a*e^2 +b*e + c], etc. and generalize, where a,b,c are the digits. e =2.71828182845904523536028747135266...

Examples

			a(135) = floor(1*e^2 + 3*e + 5) = floor(20.543901584307785933311289874633) = 20.
		

Extensions

More terms from Antonio G. Astudillo (afg_astudillo(AT)lycos.com), Mar 23 2003