Search: id:A099375
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%I A099375
%S A099375 1,3,1,5,3,1,7,5,3,1,9,7,5,3,1,11,9,7,5,3,1,13,11,9,7,5,3,1,15,13,11,9,
%T A099375 7,5,3,1,17,15,13,11,9,7,5,3,1,19,17,15,13,11,9,7,5,3,1,21,19,17,15,13,
%U A099375 11,9,7,5,3,1,23,21,19,17,15,13,11,9,7,5,3,1,25,23,21,19,17,15,13,11,9
%N A099375 Sequence matrix for odd numbers.
%C A099375 Riordan array ((1+x)/(1-x)^2, x). Inverse matrix is A101038. Row sums 
               yield (n+1)^2. Diagonal sums yield sum{k=0..floor(n/2),2(n-2k)+1}=C(n+2,
               2)=A000217(n+1). Note that sum{k=0..n,2(n-2k)+1}=n+1.
%F A099375 Number triangle T(n, k)=if(k<=n, 2(n-k)+1, 0)=binomial(2(n-k)+1, 2(n-k))
%e A099375 Rows start {1}, {3,1}, {5,3,1}, {7,5,3,1},...
%Y A099375 Cf. A005408.
%Y A099375 Sequence in context: A137758 A147754 A084305 this_sequence A130301 A133601 
               A133094
%Y A099375 Adjacent sequences: A099372 A099373 A099374 this_sequence A099376 A099377 
               A099378
%K A099375 easy,nonn,tabl
%O A099375 0,2
%A A099375 Paul Barry (pbarry(AT)wit.ie), Jan 22 2005

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