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Search: id:A155002
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%I A155002
%S A155002 1,1,1,2,1,2,3,2,2,5,5,3,4,5,12,8,5,6,10,12,29,13,8,10,15,24,29,70,21,
%T A155002 13,16,25,36,58,70,169,34,21,26,40,60,87,140,169,408,55,34,42,65,96,145,
%U A155002 210,338,408,985
%N A155002 Triangle read by rows, A104762 * (A000129 * 0^(n-k))
%C A155002 Eigentriangle, row sums = rightmost term of next row.
%C A155002 Row sums = the Pell series starting with offset 1: (1, 2, 5, 12, 29,...).
%F A155002 Triangle read by rows, A104762 * (A000129 * 0^(n-k)).
%F A155002 A104762 = Fibonacci numbers "decrescendo", (1, 1, 2, 3, 5,...) in every 
               column.
%F A155002 (A000129 * 0^(n-k)) ) = the Pell series prefaced with a 1:
%F A155002 (1, 1, 2, 5, 12,...) as the main diagonal and the rest zeros.
%e A155002 First few rows of the triangle =
%e A155002 1;
%e A155002 1, 1;
%e A155002 2, 1, 2;
%e A155002 3, 2, 2, 5;
%e A155002 5, 3, 4, 5, 12;
%e A155002 8, 5, 6, 10, 12, 29;
%e A155002 13, 8, 10, 15, 24, 29, 70;
%e A155002 21, 13, 16, 25, 36, 58, 70, 169;
%e A155002 34, 21, 26, 40, 60, 87, 140, 169, 408;
%e A155002 55, 34, 42, 65, 96, 145, 210, 338, 408, 985;
%e A155002 ...
%e A155002 Row 4 = (3, 2, 2, 5) = termwise products of (3, 2, 1, 1) and (1, 1, 2, 
               5).
%Y A155002 Cf. A104762, A000045, A000129
%Y A155002 Sequence in context: A132148 A159974 A143866 this_sequence A103342 A147784 
               A051329
%Y A155002 Adjacent sequences: A154999 A155000 A155001 this_sequence A155003 A155004 
               A155005
%K A155002 eigen,nonn,tabl
%O A155002 1,4
%A A155002 Gary W. Adamson & Roger L. Bagula (qntmpkt(AT)yahoo.com), Jan 18 2009

    
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Last modified November 30 13:13 EST 2009. Contains 167758 sequences.


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