Search: id:A035312
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%I A035312
%S A035312 1,2,3,4,6,9,7,11,17,26,5,12,23,40,66,8,13,25,48,88,154,10,18,31,56,104,
%T A035312 192,346,14,24,42,73,129,233,425,771,15,29,53,95,168,297,530,955,1726,
%U A035312 19,34,63,116,211,379,676,1206,2161,3887,16,35,69,132,248,459,838
%N A035312 Zorach additive triangle, read by rows.
%C A035312 Each number is sum of west and northwest numbers; each number appears 
               at most once in table.
%C A035312 Conjectured to form a permutation of the positive integers.
%C A035312 Number in column 1 is least so that there are no repeats in the row.
%C A035312 Inverse of sequence A035358 considered as a permutation of the positive 
               integers. - Howard A. Landman (howard(AT)polyamory.org), Sep 25 2001
%H A035312 A. C. Zorach, <a href="http://www.cazort.net/static/triangle.php">Additive 
               triangle</a>
%H A035312 <a href="Sindx_Per.html#IntegerPermutation">Index entries for sequences 
               that are permutations of the natural numbers</a>
%e A035312 1; 2,3; 4,6,9; 7,11,17,26; 5,12,23,40,66; 8,13,25,48,88,154; ...
%e A035312 E.g. 1 is the first number, 2 is the next, then add 1+2 to get 3, then 
               4 is next, then 4+2=6, 6+3=9, then 5 is not next because 5+4=9 and 
               9 was already used, so 7 is next...
%Y A035312 Cf. A035311-A035313, A035358.
%Y A035312 Sequence in context: A141396 A159849 A098168 this_sequence A056230 A119919 
               A036561
%Y A035312 Adjacent sequences: A035309 A035310 A035311 this_sequence A035313 A035314 
               A035315
%K A035312 nonn,tabl,easy,nice
%O A035312 0,2
%A A035312 Alexander C. Zorach (cazort(AT)udel.edu)

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