Search: id:A141066
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%I A141066
%S A141066 1,4,8,9,15,28,40,52,88,96,170,177,188,189,326,345,400,406,600,846,871,
%T A141066 872,1104,1866,2031,2751,4022,4023,6872,8505,8633,10672
%N A141066 List of different composites in Pascal-like triangle with index of asymmetry 
               (y=2) and index of obliquely (z=0 or z=1).
%C A141066 Pascal-like triangle with index of asymmetry (y=2) and index of
%C A141066 obliqueness (z=0) read by rows with recurence G(n, k): G(n, 0)=G(n+1,
%C A141066 n+1)=1, G(n+2, n+1)=2, G(n+3, n+1)=4, G(n+4, k)=G(n+1, k-1)+G(n+1,
%C A141066 k)+G(n+2, k)+G(n+3, k) for k:=1..(n+1).
%C A141066 Pascal-like triangle with index of asymmetry(y=1) and index of obliqueness
%C A141066 (z=1) read by rows with recurence G(n, k): G(n, n)=G(n+1, 0)=1, G(n+2,
%C A141066 1)=2, G(n+3, 2)=4, G(n+4, k)=G(n+1,
%C A141066 k-2)+G(n+1, k-3)+G(n+2, k-2)+G(n+3, k-1) for k=3..(n+3).
%H A141066 Juri-Stepan Gerasimov, <a href="a140998.jpg">Stepan's triangles and Pascal's 
               triangle are connected by the recurrence relation ...</a>
%e A141066 Pascal-like triangle (y=2, z=0) begins:
%e A141066 If 1, then a(1)=1.
%e A141066 If 1 1
%e A141066 1 2 1
%e A141066 1 4 2 1, then a(2)=4.
%e A141066 If 1 8 4 2 1, then a(3)=8.
%e A141066 If 1 15 9 4 2 1, then a(4)=12 and a(5)=15.
%e A141066 If 1 28 19 9 4 2 1, then a(6)=28.
%e A141066 If 1 52 40 19 9 4 2 1, then a(7)=40 and a(8)=52.
%e A141066 If 1 96 83 41 19 9 4 2 1
%e A141066 1 177 170 88 41 19 9 4 2 1, then a(9)=88, a(10)=96,
%e A141066 a(11)=170, a(12)=177.
%e A141066 If 1 326 345 188 88 41 19 9 4 2 1
%e A141066 1 600 694 400 189 88 41 19 9 4 2 1, then a(13)=188,
%e A141066 a(14)=189, a(15)=326, a(16)=345, a(17)=400, ets.
%Y A141066 Cf. A140998.
%Y A141066 Sequence in context: A161542 A131195 A020217 this_sequence A018196 A072103 
               A004756
%Y A141066 Adjacent sequences: A141063 A141064 A141065 this_sequence A141067 A141068 
               A141069
%K A141066 nonn,uned
%O A141066 1,2
%A A141066 Juri-Stepan Gerasimov (2stepan(AT)rambler.ru), Jul 14 2008
%E A141066 Partially edited by N. J. A. Sloane (njas(AT)research.att.com), Jul 18 
               2008

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