Divisor d is the total number of divisors
T. D. Noe
noe at sspectra.com
Mon Jul 23 18:30:49 CEST 2007
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Following Neil's suggestion to add the complement and his suggestion
for naming it "punctual birds" :
Subject: PRE-NUMBERED NEW SEQUENCE A131881 FROM Maximilian F. Hasler
%I A131881
%S A131881 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 15, 16, 17, 18,
19, 20, 22, 24, 25, 26, 27,
28, 29, 30, 33, 35, 36, 37, 38, 39, 40, 44, 46, 47, 48, 49, 50, 55,
57, 58, 59, 60,
66, 68, 69, 70, 77, 79, 80, 88, 90, 100, 102, 103, 104, 105, 106, 107,
108, 109, 113
%N A131881 "punctual birds" - numbers which are not in A116700
%C A131881 Numbers n that do not occur in the concatenation of 1,2,3...,n-1.
There is no punctual bird larger than 9*10^k and smaller than
10^(k+1), for any integer k.
%D A131881 Gardner, Martin. (November 2005). Transcendentals and early birds.
Math Horizons XIII(2), pp 5, 34.
%H A131881 <a href="http://www.itsoc.org/publications/nltr/it1202.pdf">Solomon
W. Golomb, "EARLY BIRD NUMBERS", in IEEE Information TheorySociety
Newsletter, Vol. 52, No. 4, December 2002</a>
%H A131881 <a href="http://membership.kcatm.org/pub/summ2-06.pdf">R.
Barger (editor), "Brain Teaser" in Volume 1, Issue 1 of KANSAS CITY
AREA TEACHERS OF MATHEMATICS"</a>
%e A131881 The first number not in this sequence is the early bird
"12" which occurs as concatenation of 1 and 2.
%o A131881 < ?php $s="."; for(; ++$i < 2000; $s .= $i )
if(!strpos($s,"$i")) echo $i,", ";
%Y A131881 Cf. A116700 (early birds)
%O A131881 1
%K A131881 ,base,easy,nonn,
%A A131881 Maximilian F. Hasler (Maximilian.Hasler at gmail.com), Jul 23 2007
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