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A277898 Square array A(r,c), where each row r lists all numbers k for which A277892(k) = r, read by downwards antidiagonals: A(1,1), A(1,2), A(2,1), A(1,3), A(2,2), A(3,1), etc.

%I A277898 #15 Nov 14 2016 10:37:41
%S A277898 3,4,5,6,9,7,8,12,25,11,10,14,33,49,13,18,15,35,58,93,17,22,16,44,65,
%T A277898 119,169,19,24,20,45,77,121,185,287,23,30,21,51,91,124,209,289,361,29,
%U A277898 32,26,55,95,143,214,299,437,529,31,40,27,57,106,161,221,323,473,589,802,37,42,28,60,111,177,247,327,493,611,841,934,41
%N A277898 Square array A(r,c), where each row r lists all numbers k for which A277892(k) = r, read by downwards antidiagonals: A(1,1), A(1,2), A(2,1), A(1,3), A(2,2), A(3,1), etc.
%C A277898 Permutation of natural numbers larger than 2.
%H A277898 Antti Karttunen, <a href="/A277898/b277898.txt">Table of n, a(n) for n = 3..353; the first 26 antidiagonals of array</a> (computed from the b-file provided by _Hans Havermann_ for A277892)
%F A277898 A(r,1) = A065091(r); for c > 1, A(r,c) = A277893(A(r,c-1)).
%e A277898 The top left corner of the array:
%e A277898    3,    4,    6,    8,   10,   18,   22,   24,   30,   32
%e A277898    5,    9,   12,   14,   15,   16,   20,   21,   26,   27
%e A277898    7,   25,   33,   35,   44,   45,   51,   55,   57,   60
%e A277898   11,   49,   58,   65,   77,   91,   95,  106,  111,  115
%e A277898   13,   93,  119,  121,  124,  143,  161,  177,  187,  203
%e A277898   17,  169,  185,  209,  214,  221,  247,  254,  301,  305
%e A277898   19,  287,  289,  299,  323,  327,  391,  393,  398,  403
%e A277898   23,  361,  437,  473,  493,  551,  565,  629,  633,  685
%e A277898   29,  529,  589,  611,  667,  713,  779,  817,  889,  893
%e A277898   31,  802,  841,  842,  851,  899,  901,  989, 1073, 1081
%e A277898   37,  934,  961, 1121, 1147, 1154, 1189, 1227, 1271, 1293
%e A277898   41, 1333, 1369, 1403, 1437, 1517, 1538, 1591, 1643, 1761
%e A277898   43, 1681, 1739, 1763, 1927, 1943, 2183, 2257, 2263, 2302
%e A277898   47, 1754, 1849, 2021, 2173, 2201, 2279, 2501, 2623, 2747
%e A277898   53, 2209, 2491, 2537, 2594, 2643, 2701, 2773, 2881, 3053
%o A277898 (Scheme)
%o A277898 ;; The terms for array proper start with A277898(3):
%o A277898 (define (A277898 n) (if (< n 3) n (A277898bi (A002260 (- n 2)) (A004736 (- n 2)))))
%o A277898 (define (A277898bi row col) (if (= 1 col) (A000040 (+ 1 row)) (A277893 (A277898bi row (- col 1)))))
%Y A277898 Transpose: A277897.
%Y A277898 Row 1: A277319.
%Y A277898 Column 1: A065091, column 2: A277900.
%Y A277898 Cf. A277892 (index of the row where n is located), A277895 (of the column).
%Y A277898 Cf. A001222, A048675, A277893.
%K A277898 nonn,tabl
%O A277898 3,1
%A A277898 _Antti Karttunen_, Nov 08 2016