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%I #13 Nov 05 2014 11:29:16
%S 36,72,73,108,110,144,145,147,180,216,217,218,221,252,288,289,291,295,
%T 324,326,360,361,396,432,433,434,435,437,443,468,504,505,540,542,576,
%U 577,579,583,612,648,649,650,653,684,720,721,723,756,758,792,793,828,864,865,866,867,869,871,875,887,900,936,937,972,974,1008,1009,1011,1044,1080
%N Numbers n such that there is a multiple of 36 on row n of Pascal's triangle with property that it is also the least multiple of 4 and the least multiple of 9 on the same row.
%C All n such that both on row n of A034931 (Pascal's triangle reduced modulo 4) and on row n of A095143 (Pascal's triangle reduced modulo 9) there is at least one zero and the distance from the edge to the nearest zero is same on both rows.
%H Antti Karttunen, <a href="/A249726/b249726.txt">Table of n, a(n) for n = 1..10000</a>
%o (PARI)
%o A249726list(upto_n) = { my(i=0, n=0); while(i<upto_n,for(k=0,n\2,if(!(binomial(n,k)%36), i++;write("b249726.txt",i," ",n);break, if((!(binomial(n,k)%4) || !(binomial(n,k)%9)), break))); n++); }
%Y Subsequence of A249724.
%Y A044102 is a subsequence (after zero).
%Y Natural numbers (A000027) is a disjoint union of the sequences A048278, A249722, A249723 and A249726.
%Y Cf. A007318, A034931, A095143, A048645, A051382.
%K nonn
%O 1,1
%A _Antti Karttunen_, Nov 04 2014
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