Search: id:A128229
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%I A128229
%S A128229 1,1,1,0,2,1,0,0,3,1,0,0,0,4,1,0,0,0,0,5,1,0,0,0,0,0,6,1,0,0,0,0,0,0,7,
%T A128229 1
%N A128229 A natural number transform, inverse of signed A094587.
%C A128229 Signed version of the transform (with -1,-2,-3...in the subdiagonal) 
               gives A094587 having row sums A000522: (1, 2, 5, 16, 65, 236,...). 
               Unsigned inverse gives signed A094587 (with alternate signs); giving 
               row sums = a signed variation of A094587 as follows: (1, 0, 1, -2, 
               9, -44, 265, -1854,...). Binomial transform of the triangle = A093375.
%C A128229 Eigensequence of the triangle = A000085 starting (1, 2, 4, 10, 26, 76,
               ...). [From Gary W. Adamson (qntmpkt(AT)yahoo.com), Dec 29 2008]
%F A128229 Infinite lower triangular matrix with (1,1,1,...) in the main diagonal 
               and (1,2,3,...) in the subdiagonal.
%e A128229 First few rows of the triangle are:
%e A128229 1;
%e A128229 1, 2;
%e A128229 0, 2, 1;
%e A128229 0, 0, 3, 1;
%e A128229 0, 0, 0, 4, 1;
%e A128229 0, 0, 0, 0, 5, 1;
%e A128229 0, 0, 0, 0, 0, 6, 1;
%e A128229 0, 0, 0, 0, 0, 0, 7, 1;
%e A128229 ...
%Y A128229 Cf. A094587, A000522, A094587, A093375, A128228, A128227.
%Y A128229 A000085 [From Gary W. Adamson (qntmpkt(AT)yahoo.com), Dec 29 2008]
%Y A128229 Sequence in context: A113263 A063658 A132013 this_sequence A145677 A105820 
               A136263
%Y A128229 Adjacent sequences: A128226 A128227 A128228 this_sequence A128230 A128231 
               A128232
%K A128229 nonn,tabl
%O A128229 1,5
%A A128229 Gary W. Adamson (qntmpkt(AT)yahoo.com), Feb 19 2007

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