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Square array A(r,c) = A019565(A277820(r,c)), read by descending antidiagonals as A(1,1), A(1,2), A(2,1), A(1,3), A(2,2), A(3,1), etc.
5

%I #8 Nov 05 2016 07:25:38

%S 2,6,3,10,15,30,210,21,14,5,22,1155,462,35,70,858,39,910,55,330,105,

%T 1870,3315,72930,5005,2002,33,42,9699690,5187,2926,85,714,2145,770,7,

%U 46,111546435,238602,11305,248710,3927,390,77,154,4002,87,93763670,21505,152490,440895,3094,91,546,231,7130,13485,620310,1078282205,2306486,9867,114114,17017,170170,1365,2310

%N Square array A(r,c) = A019565(A277820(r,c)), read by descending antidiagonals as A(1,1), A(1,2), A(2,1), A(1,3), A(2,2), A(3,1), etc.

%C Permutation of squarefree numbers (A005117) after their initial term 1.

%H Antti Karttunen, <a href="/A277810/b277810.txt">Table of n, a(n) for n = 1..1540; the first 55 antidiagonals of the array</a>

%F A(r,c) = A019565(A277820(r,c)).

%e The top left corner of the array:

%e 2, 6, 10, 210, 22, 858, 1870, 9699690

%e 3, 15, 21, 1155, 39, 3315, 5187, 111546435

%e 30, 14, 462, 910, 72930, 2926, 238602, 93763670

%e 5, 35, 55, 5005, 85, 11305, 21505, 1078282205

%e 70, 330, 2002, 714, 248710, 152490, 2306486, 60138078

%e 105, 33, 2145, 3927, 440895, 9867, 1870935, 691587897

%e 42, 770, 390, 3094, 114114, 520030, 162690, 581334754

%e 7, 77, 91, 17017, 133, 33649, 50141, 6685349671

%e 154, 546, 170170, 570, 6118, 254562, 357505330, 51269790

%e 231, 1365, 7293, 3135, 1312311, 983535, 11599797, 589602585

%o (Scheme)

%o (define (A277810 n) (A277810bi (A002260 n) (A004736 n)))

%o (define (A277810bi row col) (A019565 (A277820bi row col)))

%Y Transpose: A277809.

%Y The topmost row: A123098, the leftmost column: A277811.

%Y Cf. A005117, A019565, A277820.

%K nonn,tabl

%O 1,1

%A _Antti Karttunen_, Nov 01 2016