This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A090581 #8 Dec 07 2016 10:36:06 %S A090581 1,6,21,56,126,252,462,792,1287,2001,2992,4317,6027,8162,10746,13782, %T A090581 17247,21087,25212,29496,33787,37917,41712,45002,47631,49467,50412, %U A090581 50412,49467,47631,45002,41712,37917,33787,29496,25212,21087,17247,13782,10746,8162,6027,4317,2992,2001,1287,792,462,252,126,56,21,6,1 %N A090581 Number of numbers with 6 decimal digits and sum of digits = n. %C A090581 There are 900000 6-digit numbers, the smallest being 100000 and the largest 999999. %F A090581 G.f.: (x - x^10)/(1 - x)*((1 - x^10)/(1 - x))^5. - _Michael De Vlieger_, Dec 07 2016 %e A090581 a(2)=6: 100001, 100010, 100100, 101000, 110000, 200000. %t A090581 Rest@ CoefficientList[Series[(x - x^10)/(1 - x) ((1 - x^10)/(1 - x))^#, {x, 0, 9 (# + 1)}], x] &@ 5 (* or *) %t A090581 Function[w, Count[w, #] & /@ Range[Max@ w]]@ Map[Total@ IntegerDigits@ # &, Range[10^#, 10^(# + 1) - 1]] &@ 5 (* _Michael De Vlieger_, Dec 07 2016 *) %o A090581 (PARI) b=vector(54,i,0);for(n=100000,999999,a=eval(Vec(Str(n)));b[sum(j=1,6,a[j])]++);for(n=1,54,print1(b[n],",")) - Herman Jamke (hermanjamke(AT)fastmail.fm), Oct 19 2006 %Y A090581 Cf. A071817 3-digit numbers, A090579 4-digit numbers, A090580 5-digit numbers. %K A090581 base,fini,full,nonn %O A090581 1,2 %A A090581 _Hugo Pfoertner_, Jan 12 2004