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A286623 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.

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