Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%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