Search: id:A144961
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%I A144961
%S A144961 1,0,1,0,0,1,1,0,0,1,0,1,0,0,2,1,0,1,0,0,3,1,1,0,1,0,0,5,1,1,1,0,2,0,0,
%T A144961 8,2,1,1,1,0,3,0,0,13,2,2,1,1,2,0,5,0,0,21,3,2,2,1,2,3,0,8,0,0,34,4,3,
               2,
%U A144961 2,2,3,5,0,13,0,0,55
%N A144961 Eigentriangle, left border = Padovan sequence, right border and row sums 
               = modified Fibonacci sequences.
%C A144961 Left border = A000931, the Padovan sequence: (1, 0, 0, 1, 0, 1, 1, 1, 
               2, 2,...).
%C A144961 Right border = (1, 1, 1, 1, 2, 3, 5, 8, 13, 21,...)
%C A144961 Row sums = (1, 1, 1, 2, 3, 5, 8, 13, 21, 34,...).
%C A144961 Sum of n-th row terms = rightmost term in next row.
%F A144961 Triangle read by rows, termwise products of a Padovan "decrescendo" triangle: 
               (1; 0,1; 0,0,1; 1,0,0,1,...) and the Fibonacci series preceded by 
               two 1's: (1, 1, 1, 1, 2, 3, 5, 8,...); (i.e. the INVERT transform 
               of the Padovan sequence).
%e A144961 First few rows of the triangle =
%e A144961 1;
%e A144961 0, 1;
%e A144961 0, 0, 1;
%e A144961 1, 0, 0, 1;
%e A144961 0, 1, 0, 0, 2;
%e A144961 1, 0, 1, 0, 0, 3;
%e A144961 1, 1, 0, 1, 0, 0, 5;
%e A144961 1, 1, 1, 0, 2, 0, 0, 8;
%e A144961 2, 1, 1, 1, 0, 3, 0, 0, 13;
%e A144961 2, 2, 1, 1, 2, 0, 5, 0, 0, 21;
%e A144961 3, 2, 2, 1, 2, 3, 0, 8, 0, 0, 34;
%e A144961 4, 3, 2, 2, 2, 3, 50, 13, 0, 0, 55;
%e A144961 ...
%Y A144961 A000931
%Y A144961 Sequence in context: A116488 A145765 A157424 this_sequence A144627 A135929 
               A080733
%Y A144961 Adjacent sequences: A144958 A144959 A144960 this_sequence A144962 A144963 
               A144964
%K A144961 nonn,tabl
%O A144961 0,15
%A A144961 Gary W. Adamson (qntmpkt(AT)yahoo.com), Sep 27 2008

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