Search: id:A083050
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%I A083050
%S A083050 1,2,4,3,6,7,5,9,10,11,8,13,15,16,14,12,19,22,23,20,18,17,27,32,33,29,
%T A083050 26,21,25,39,46,47,42,37,30,24,36,56,66,67,60,53,43,34,28,51,80,94,95,
%U A083050 85,75,61,49,40,31,73,114,133,135,121,107,87,70,57,44,35,104,162,189
%N A083050 Square table read by antidiagonals forms a permutation of the natural 
               numbers: T(n,0)=floor(n*x/(x-1))+1, T(n,k+1)=ceil(x*T(n,k)), where 
               x=sqrt(2), n>=0, k>=0.
%C A083050 First column is A083051, main diagonal is A083052, anti-diagonal sums 
               give A083053.
%e A083050 Table begins:
%e A083050 1 2 3 5 8 12 17 25 36 51 73 104 ...
%e A083050 4 6 9 13 19 27 39 56 80 114 162 230 ...
%e A083050 7 10 15 22 32 46 66 94 133 189 268 380 ...
%e A083050 11 16 23 33 47 67 95 135 191 271 384 544 ...
%e A083050 14 20 29 42 60 85 121 172 244 346 490 693 ...
%e A083050 18 26 37 53 75 107 152 215 305 432 611 865 ...
%e A083050 21 30 43 61 87 124 176 249 353 500 708 1002 ...
%e A083050 24 34 49 70 99 141 200 283 401 568 804 1138 ...
%e A083050 28 40 57 81 115 163 231 327 463 655 927 1311 ...
%e A083050 31 44 63 90 128 182 258 365 517 732 1036 1466 ...
%e A083050 35 50 71 101 143 203 288 408 577 817 1156 1635 ...
%Y A083050 Cf. A083051, A083052, A083053, A083044, A083047.
%Y A083050 Sequence in context: A141429 A162953 A039819 this_sequence A083044 A126714 
               A035506
%Y A083050 Adjacent sequences: A083047 A083048 A083049 this_sequence A083051 A083052 
               A083053
%K A083050 nonn,tabl
%O A083050 0,2
%A A083050 Paul D. Hanna (pauldhanna(AT)juno.com), Apr 18 2003

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