%I #16 Jul 06 2017 09:41:53
%S 1,3,1,4,4,1,5,6,6,1,7,7,10,8,1,9,16,11,14,12,1,10,19,36,15,22,14,1,
%T 11,21,41,78,23,26,18,1,13,22,45,85,144,27,34,20,1,15,31,46,91,155,
%U 222,35,38,24,1,16,34,71,92,165,235,324,39,46,30,1,17,36,76,155,166,247,341,438,47,58,32,1,18,37,80,162,287,248,357,457,668,59,62,38,1
%N Square array A(n,k) = A276943(n,k)/A002110(n-1), read by descending antidiagonals A(1,1), A(1,2), A(2,1), A(1,3), A(2,2), A(3,1), etc.
%H Antti Karttunen, <a href="/A286623/b286623.txt">Table of n, a(n) for n = 1..1275; the first 50 antidiagonals of array</a>
%H <a href="/index/Pri#primorialbase">Index entries for sequences related to primorial base</a>
%F A(n,k) = A276943(n, k) / A002110(n-1).
%e The top left 12 X 12 corner of the array:
%e 1, 3, 4, 5, 7, 9, 10, 11, 13, 15, 16, 17
%e 1, 4, 6, 7, 16, 19, 21, 22, 31, 34, 36, 37
%e 1, 6, 10, 11, 36, 41, 45, 46, 71, 76, 80, 81
%e 1, 8, 14, 15, 78, 85, 91, 92, 155, 162, 168, 169
%e 1, 12, 22, 23, 144, 155, 165, 166, 287, 298, 308, 309
%e 1, 14, 26, 27, 222, 235, 247, 248, 443, 456, 468, 469
%e 1, 18, 34, 35, 324, 341, 357, 358, 647, 664, 680, 681
%e 1, 20, 38, 39, 438, 457, 475, 476, 875, 894, 912, 913
%e 1, 24, 46, 47, 668, 691, 713, 714, 1335, 1358, 1380, 1381
%e 1, 30, 58, 59, 900, 929, 957, 958, 1799, 1828, 1856, 1857
%e 1, 32, 62, 63, 1148, 1179, 1209, 1210, 2295, 2326, 2356, 2357
%e 1, 38, 74, 75, 1518, 1555, 1591, 1592, 3035, 3072, 3108, 3109
%o (Scheme)
%o (define (A286623 n) (A286623bi (A002260 n) (A004736 n)))
%o (define (A286623bi row col) (/ (A276943bi row col) (A002110 (- row 1))))
%Y Transpose: A286625.
%Y Cf. A002110, A276943.
%Y Row 1: A276155.
%Y Column 1: A000012, Column 2: A008864, Column 3: A100484, Column 4: A072055, Column 5: A023523 (from its second term onward), Column 6: A286624 (= 1 + A123134), Column 11: 2*A123134, Column 13: 3*A006094.
%Y Cf. A276616 (analogous array).
%K nonn,tabl
%O 1,2
%A _Antti Karttunen_, Jun 28 2017