Search: id:A118629
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%I A118629
%S A118629 10,36,84,126,126,84,36,9,1
%N A118629 Number of n-digit integers with decimal digits in increasing order.
%C A118629 There are precisely 512 such numbers, see A009993.
%F A118629 a(1)=1, at n>1: a(n)=binomial(10, n)(1 - n/10)
%e A118629 a(2)=36 because there are 36 two-digit integers whose decimal digits 
               are in increasing order (see A009993): 12, 13, 14, 15, 16, 17, 18, 
               19, 23, 24, 25, 26, 27, 28, 29, 34, 35, 36, 37, 38, 39, 45, 46, 47, 
               48, 49, 56, 57, 58, 59, 67, 68, 69, 78, 79, 89
%Y A118629 Cf. A009993.
%Y A118629 Sequence in context: A073613 A072517 A033585 this_sequence A050509 A118415 
               A051959
%Y A118629 Adjacent sequences: A118626 A118627 A118628 this_sequence A118630 A118631 
               A118632
%K A118629 fini,full,nonn
%O A118629 1,1
%A A118629 Zak Seidov (zakseidov(AT)yahoo.com), May 09 2006

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