login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Useless numbers: numbers written in English without any of the letters e, s or u.
0

%I #24 Jan 02 2021 04:25:21

%S 2,30,32,40,42,50,52,2000000,2000002,2000030,2000032,2000040,2000042,

%T 2000050,2000052,30000000,30000002,30000030,30000032,30000040,

%U 30000042,30000050,30000052,32000000,32000002,32000030,32000032,32000040,32000042,32000050,32000052

%N Useless numbers: numbers written in English without any of the letters e, s or u.

%C After a(7), the sequence contains only terms of the form a(i) * 10^(3*k) and a(i) * 10^(3*k) + a(j) for 1 <= i, j <= 7, where the name of 10^(3*k) is useless, e.g., 10^6 (million), 10^9 (billion), 10^12 (trillion), 10^27 (octillion), 10^30 (nonillion), ... (see links for large number names). - _Michael S. Branicky_, Jan 01 2021

%H M. J. Halm, <a href="https://michaelhalm.tripod.com/id109.htm">Sequences (Re)discovered</a>, Mpossibilities 81 (Aug. 2002).

%H Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/LargeNumber.html">Large Number</a>

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Names_of_large_numbers">Names of Large Numbers</a>

%e a(2) = 30 because 30 is the second integer without an e, s or u in its English name.

%K nonn,word

%O 1,1

%A _Michael Joseph Halm_, Aug 23 2002

%E Removed 'ninety' and 'ninety two' from the sequence which clearly include the letter E. Likewise removed 'two hundrEd' and others. Inserted 'thirty' and 'thirty-two'. - _Freddie Noble_, Jan 01 2021

%E a(16)-a(31) from _Michael S. Branicky_, Jan 01 2021