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%I A276617 #14 Sep 24 2016 10:47:35
%S A276617 1,1,3,1,4,4,1,5,6,5,1,6,8,7,7,1,7,10,9,13,9,1,8,12,11,21,16,10,1,9,
%T A276617 14,13,31,25,18,11,1,10,16,15,43,36,28,19,13,1,11,18,17,57,49,40,29,
%U A276617 25,15,1,12,20,19,73,64,54,41,41,28,16,1,13,22,21,91,81,70,55,61,45,30,17,1,14,24,23,111,100,88,71,85,66,48,31,18
%N A276617 Square array A(n,k) = A276955(n,k)/k!, 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 A276617 Antti Karttunen, <a href="/A276617/b276617.txt">Table of n, a(n) for n = 1..7260; the first 120 antidiagonals of array</a>
%H A276617 <a href="/index/Fa#facbase">Index entries for sequences related to factorial base representation</a>
%F A276617 A(n,k) = A276955(n,k)/k!
%e A276617 The top left corner of the array:
%e A276617 1,  1,  1,  1,  1,  1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1
%e A276617 3,  4,  5,  6,  7,  8,  9,  10,  11,  12,  13,  14,  15,  16,  17,  18,  19
%e A276617 4,  6,  8, 10, 12, 14, 16,  18,  20,  22,  24,  26,  28,  30,  32,  34,  36
%e A276617 5,  7,  9, 11, 13, 15, 17,  19,  21,  23,  25,  27,  29,  31,  33,  35,  37
%e A276617 7, 13, 21, 31, 43, 57, 73,  91, 111, 133, 157, 183, 211, 241, 273, 307, 343
%e A276617 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225, 256, 289, 324, 361
%o A276617 (Scheme)
%o A276617 (define (A276617 n) (A276617bi (A002260 n) (A004736 n)))
%o A276617 (define (A276617bi row col) (/ (A276955bi row col) (A000142 col)))
%Y A276617 Transpose: A276616.
%Y A276617 Cf. A000142, A276955.
%Y A276617 Columns 1-3: A273670, A276931, A276934.
%Y A276617 Row 1: A000012, Row 2: n+2, Row 3: 2n+2, Row 4: 2n+3 (for n >= 1).
%Y A276617 Row 5: A002061 (from a(3)=7 onward).
%Y A276617 Row 6: squares (A000290, from a(3)=9 onward).
%Y A276617 Row 7: A028552 (from a(2)=10 onward).
%Y A276617 Row 8: A028387 (from a(2)=11 onward).
%K A276617 nonn,base,tabl
%O A276617 1,3
%A A276617 _Antti Karttunen_, Sep 22 2016

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