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Square array A(i,j) = A003188(A006068(i) * A006068(j)), read by antidiagonals as A(1,1), A(1,2), A(2,1), A(1,3), A(2,2), A(3,1), ...
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%I #11 Feb 14 2016 14:57:45

%S 1,2,2,3,13,3,4,5,5,4,5,31,6,31,5,6,27,9,9,27,6,7,10,10,41,10,10,7,8,

%T 8,12,63,63,12,8,8,9,59,15,18,54,18,15,59,9,10,63,17,50,20,20,50,17,

%U 63,10,11,54,18,93,17,24,17,93,18,54,11,12,52,20,83,119,30,30,119,83,20,52,12,13,20,23,126,126,34,21,34,126,126,23,20,13

%N Square array A(i,j) = A003188(A006068(i) * A006068(j)), read by antidiagonals as A(1,1), A(1,2), A(2,1), A(1,3), A(2,2), A(3,1), ...

%H Antti Karttunen, <a href="/A268725/b268725.txt">Table of n, a(n) for n = 1..15051; the first 173 antidiagonals of the array</a>

%F A(i,j) = A003188(A006068(i) * A006068(j)).

%F A(i,j) = A003188(A268724(i,j)).

%e The top left [1 .. 15] x [1 .. 15] section of the array:

%e 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15

%e 2, 13, 5, 31, 27, 10, 8, 59, 63, 54, 52, 20, 22, 49, 17

%e 3, 5, 6, 9, 10, 12, 15, 17, 18, 20, 23, 24, 27, 29, 30

%e 4, 31, 9, 41, 63, 18, 50, 93, 83, 126, 118, 36, 32, 107, 101

%e 5, 27, 10, 63, 54, 20, 17, 119, 126, 108, 105, 40, 45, 99, 34

%e 6, 10, 12, 18, 20, 24, 30, 34, 36, 40, 46, 48, 54, 58, 60

%e 7, 8, 15, 50, 17, 30, 21, 110, 101, 34, 97, 60, 59, 44, 43

%e 8, 59, 17, 93, 119, 34, 110, 145, 187, 238, 162, 68, 196, 247, 221

%e 9, 63, 18, 83, 126, 36, 101, 187, 166, 252, 237, 72, 65, 215, 202

%e 10, 54, 20, 126, 108, 40, 34, 238, 252, 216, 210, 80, 90, 198, 68

%e 11, 52, 23, 118, 105, 46, 97, 162, 237, 210, 253, 92, 79, 200, 195

%e 12, 20, 24, 36, 40, 48, 60, 68, 72, 80, 92, 96, 108, 116, 120

%e 13, 22, 27, 32, 45, 54, 59, 196, 65, 90, 79, 108, 121, 82, 119

%e 14, 49, 29, 107, 99, 58, 44, 247, 215, 198, 200, 116, 82, 69, 89

%e 15, 17, 30, 101, 34, 60, 43, 221, 202, 68, 195, 120, 119, 89, 86

%o (Scheme)

%o (define (A268725 n) (A268725bi (A002260 n) (A004736 n)))

%o (define (A268725bi row col) (A003188 (* (A006068 row) (A006068 col))))

%Y Cf. A003188, A006068, A268724.

%Y Cf. A268723 (main diagonal).

%Y Cf. A268722 (row 2 and column 2).

%Y Cf. A001969 (row 3 and column 3).

%Y Cf. also A268715.

%K nonn,tabl

%O 1,2

%A _Antti Karttunen_, Feb 13 2016