%I #4 Jun 22 2013 16:31:59
%S 1,0,1,0,1,1,0,0,1,1,0,0,1,2,1,0,0,0,2,2,1,0,0,0,2,3,1,1,0,0,0,0,1,0,
%T 1,5,0,0,0,0,1,3,4,12,4,0,0,0,0,0,4,5,7,3,3,0,0,0,0,0,4,7,9,3,4,2,0,0,
%U 0,1,0,0,2,5,4,8,11,8,0,0,0,1,0,0,2,7,11,12,19,11,4,0,0,0,0,0,0
%N Triangle read by rows giving number of divisor chains of length n beginning with k (1 <= k <= n).
%C A divisor chain of length n is an arrangement of 1..n such that each term is a divisor of the sum of the preceding terms.
%e Triangle begins:
%e 1
%e 0 1
%e 0 1 1
%e 0 0 1 1
%e 0 0 1 2 1
%e 0 0 0 2 2 1
%e 0 0 0 2 3 1 1
%e 0 0 0 0 1 0 1 5
%e 0 0 0 0 1 3 4 12 4
%e 0 0 0 0 0 4 5 7 3 3
%e 0 0 0 0 0 4 7 9 3 4 2
%e 0 0 0 1 0 0 2 5 4 8 11 8
%e 0 0 0 1 0 0 2 7 11 12 19 11 4
%e 0 0 0 0 0 0 0 4 12 4 14 7 8 6
%e 0 0 0 1 0 2 3 14 32 42 64 41 77 63 47
%e 0 0 0 1 0 0 0 0 16 34 39 26 20 24 31 44
%e 0 0 0 1 0 0 0 0 16 44 55 27 34 31 42 56 6
%e 0 0 0 0 0 2 3 2 2 21 13 20 19 31 51 70 76 37
%e 0 0 0 0 0 4 3 3 7 21 17 24 25 34 54 91 113 49 6
%e 0 0 0 0 0 2 0 8 17 12 31 41 43 91 60 121 223 144 360 166
%e 0 0 0 0 0 7 0 20 31 26 57 197 314 383 283 706 938 473 969 454 462
%e 0 0 0 0 0 6 0 17 18 21 0 124 131 220 148 445 538 232 443 222 423 232
%e 0 0 0 0 0 6 0 17 22 29 9 138 164 279 188 520 640 309 616 302 521 357 372
%e 0 0 0 6 0 6 0 44 76 219 86 155 314 545 389 1354 1296 819 727 1246 1959 2619 6247 2130
%e 0 0 0 8 0 11 7 60 112 257 102 273 323 1519 579 2388 2828 1600 2193 2535 3532 3955 9554 3155 1589
%e 0 0 0 3 5 14 15 80 53 139 34 556 453 3063 1160 3194 1739 1756 2015 3648 5311 2903 7496 4084 6061 9093
%Y Cf. A094097 (right diagonal).
%K tabl,nonn
%O 1,14
%A Eugene McDonnell (eemcd(AT)mac.com), May 11 2004