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

1,2

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...

Links

Table of n, a(n) for n=1..77.

Example

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

Crossrefs

Sequence in context: A244158 A322001 A081594 * A091047 A068505 A080719

Adjacent sequences: A038503 A038504 A038505 * A038507 A038508 A038509

Keyword

base,nonn

Author

Amarnath Murthy, Nov 14 2002

Extensions

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

Status

approved