Search: id:A121306
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%I A121306
%S A121306 2,2,3,2,5,4,2,7,9,5,2,9,16,14,6,2,11,25,30,20,7,2,13,36,55,50,27,8,
%T A121306 2,15,49,91,105,77,35,9,2,17,64,140,196,182,112,44,10,19,81,204,336,
%U A121306 378,294,156,54,100,285,540,714,672,450,210,385,825,1254,1386,1122
%N A121306 Array read by antidiagonals: a(m,n) = a(m,n-1)+a(m-1,n) but with initialization 
               values a(0,0)=0, a(m>=1,0)=1, a(0,1)=1, a(0,n>1)=0.
%C A121306 For a(1,0)=1, a(m>1,0)=0 and a(0,n>=0)=0 one gets Pascal's triangle A007318.
%H A121306 Thomas Wieder, <a href="http://www.thomas-wieder.privat.t-online.de/">
               Home Page</a>.
%H A121306 Thomas Wieder, <a href="http://homepages.tu-darmstadt.de/~wieder">(Old) 
               Home Page</a>.
%F A121306 a(m,n) = a(m,n-1)+a(m-1,n), a(0,0)=0, a(m>=1,0)=1, a(0,1)=1, a(0,n>1)=0.
%e A121306 Array begins
%e A121306 2 2 2 2 2 2 2 2 2 ...
%e A121306 3 5 7 9 11 13 15 17 19 ...
%e A121306 4 9 16 25 36 49 64 81 100 ...
%e A121306 5 14 30 55 91 140 204 285 385 ...
%e A121306 6 20 50 105 196 336 540 825 1210 ...
%e A121306 7 27 77 182 378 714 1254 2079 3289 ...
%o A121306 (Excel cell formula) =Z(-1)S+ZS(-1). The very first row (not included 
               into the table) contains the initialization values: a(0,1)=1, a(0,
               n>=2)=0. The very first column (not included into the table) contains 
               the initialization values: a(m>=1,0)=1. The value a(0,0)=0 does not 
               enter into the table.
%Y A121306 The first nine rows are: A006527, A005408, A000290, A000330, A002415, 
               A005585, A040977, A050486, A053347.
%Y A121306 The initial columns are: A000027, A000096, A005581, A005582, A005583, 
               A005584.
%Y A121306 Cf. A119800, A007318, A006527, A005408, A000290, A000330, A002415, A005585, 
               A040977, A050486, A053347, A000027, A000096, A005581, A005582, A005583, 
               A005584.
%Y A121306 Sequence in context: A111089 A051664 A029656 this_sequence A073311 A003974 
               A065769
%Y A121306 Adjacent sequences: A121303 A121304 A121305 this_sequence A121307 A121308 
               A121309
%K A121306 nonn,tabl
%O A121306 0,1
%A A121306 Thomas Wieder (thomas.wieder(AT)t-online.de), Aug 04 2006, Aug 06 2006
%E A121306 Edited by N. J. A. Sloane (njas(AT)research.att.com), Sep 15 2006

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