%I A090579
%S A090579 1,4,10,20,35,56,84,120,165,219,279,342,405,465,519,564,597,615,615,597,
%T A090579 564,519,465,405,342,279,219,165,120,84,56,35,20,10,4,1
%N A090579 Number of numbers with 4 decimal digits and sum of digits = n.
%C A090579 There are 9000 numbers with 4 decimal digits, the smallest being 1000 
               and the largest 9999.
%e A090579 a(2)=4: 1001, 1010, 1100, 2000.
%o A090579 (PARI) b=vector(36,i,0);for(n=1000,9999,a=eval(Vec(Str(n)));b[sum(j=1,
               4,a[j])]++);for(n=1,36,print1(b[n],",")) - Herman Jamke (hermanjamke(AT)fastmail.fm), 
               Oct 19 2006
%Y A090579 Cf. A071817 3-digit numbers, A090580 5-digit numbers, A090581 6-digit 
               numbers.
%Y A090579 Sequence in context: A127764 A138778 A038409 this_sequence A000292 A101552 
               A038419
%Y A090579 Adjacent sequences: A090576 A090577 A090578 this_sequence A090580 A090581 
               A090582
%K A090579 base,fini,full,nonn
%O A090579 1,2
%A A090579 Hugo Pfoertner (hugo(AT)pfoertner.org), Jan 12 2004