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 A082219 In the square array shown below, numbers (not occurring earlier) are entered like this a(1, 1), a(1, 2), a(2, 1), a(3, 1), a(2, 2), a(1, 3), a(1, 4), a(2, 3), a(3, 2), a(4, 1), a(5, 1), a(4, 2), ... in such a way that every n-th partial sum of a row or a column is a multiple of n. Sequence contains the first row. 6
 1, 3, 2, 10, 19, 25, 24, 28, 41, 27, 51, 81, 78, 86, 124, 120, 147, 123, 188, 142, 192, 116, 258, 250, 314, 254, 320, 392, 470, 404, 453, 377, 490, 612, 533, 445, 718, 708, 812, 602, 784, 726, 791, 771, 928, 1002, 1032, 1158, 996, 972, 1149, 1023, 1365, 1239 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS EXAMPLE 1 3 2 10 19 25... 5 7 12 16 15... 6 8 13 37... 4 14 18... 9 23... 11... ... PROG PARI code from Max Alekseyev: { A082219() = a=matrix(1000, 1000); S=Set(); for(s=2, 1001, if(s%2, i0=1; i1=s-1; i2=1, i0=s-1; i1=1; i2=-1); forstep(i=i0, i1, i2, j=s-i; ii=sum(k=1, j-1, a[i, k]); jj=sum(k=1, i-1, a[k, j]); c=chinese(Mod(ii, j), Mod(jj, i)); t=component(c, 1)-lift(c); while(setsearch(S, t), t+=component(c, 1)); a[i, j]=t; S=setunion(S, [t]); if(i==1, print1(", ", sum(k=1, j, a[i, j])/j) ); )) } CROSSREFS Cf. A082218, A082220, A082221, A082222, A082223. Sequence in context: A011953 A038519 A192617 * A034461 A070033 A107334 Adjacent sequences:  A082216 A082217 A082218 * A082220 A082221 A082222 KEYWORD nonn AUTHOR Amarnath Murthy and Meenakshi Srikanth (menakan_s(AT)yahoo.com), Apr 09 2003 EXTENSIONS More terms from Max Alekseyev, Jun 08 2007 Edited by N. J. A. Sloane, Jun 11 2007 STATUS approved

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Last modified August 9 18:32 EDT 2020. Contains 336326 sequences. (Running on oeis4.)