%I #10 Sep 24 2016 10:47:12

%S 1,3,1,4,4,1,5,6,5,1,7,7,8,6,1,9,13,9,10,7,1,10,16,21,11,12,8,1,11,18,

%T 25,31,13,14,9,1,13,19,28,36,43,15,16,10,1,15,25,29,40,49,57,17,18,11,

%U 1,16,28,41,41,54,64,73,19,20,12,1,17,30,45,61,55,70,81,91,21,22,13,1,18,31,48,66,85,71,88,100,111,23,24,14,1

%N Square array A(n,k) = A276953(n,k)/n!, read by descending antidiagonals as A(1,1), A(1,2), A(2,1), A(1,3), A(2,2), A(3,1), etc.

%H Antti Karttunen, <a href="/A276616/b276616.txt">Table of n, a(n) for n = 1..10440; the first 144 antidiagonals of array</a>

%H <a href="/index/Fa#facbase">Index entries for sequences related to factorial base representation</a>

%F A(n,k) = A276953(n,k)/n!

%e The top left corner of the array:

%e 1, 3, 4, 5, 7, 9, 10, 11, 13, 15, 16, 17, 18, 19, 20, 21, 22

%e 1, 4, 6, 7, 13, 16, 18, 19, 25, 28, 30, 31, 36, 37, 39, 40, 42

%e 1, 5, 8, 9, 21, 25, 28, 29, 41, 45, 48, 49, 60, 61, 64, 65, 68

%e 1, 6, 10, 11, 31, 36, 40, 41, 61, 66, 70, 71, 90, 91, 95, 96, 100

%e 1, 7, 12, 13, 43, 49, 54, 55, 85, 91, 96, 97, 126, 127, 132, 133, 138

%e 1, 8, 14, 15, 57, 64, 70, 71, 113, 120, 126, 127, 168, 169, 175, 176, 182

%o (Scheme)

%o (define (A276616 n) (A276616bi (A002260 n) (A004736 n)))

%o (define (A276616bi row col) (/ (A276953bi row col) (A000142 row)))

%Y Transpose: A276617.

%Y Cf. A000142, A276953.

%Y Row 1: A273670, row 2: A276931, row 3: A276934.

%Y For columns, see the rows of transpose A276617.

%K nonn,base,tabl

%O 1,2

%A _Antti Karttunen_, Sep 22 2016