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Floor of decimal expansion of n read as if it were "base e".
1

%I #3 Dec 05 2013 19:54:47

%S 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,

%T 10,11,12,13,14,15,16,17,10,11,12,13,14,15,16,17,18,19,13,14,15,16,17,

%U 18,19,20,21,22,16,17,18,19,20,21,22,23,24,25,19,20,21,22,23,24,25,26

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

%C 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...

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

%K base,nonn

%O 1,2

%A _Amarnath Murthy_, Nov 14 2002

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