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 A101038 Inverse to sequence matrix for odd numbers. 1

%I #3 Mar 30 2012 18:59:02

%S 1,-3,1,4,-3,1,-4,4,-3,1,4,-4,4,-3,1,-4,4,-4,4,-3,1,4,-4,4,-4,4,-3,1,

%T -4,4,-4,4,-4,4,-3,1,4,-4,4,-4,4,-4,4,-3,1,-4,4,-4,4,-4,4,-4,4,-3,1,4,

%U -4,4,-4,4,-4,4,-4,4,-3,1,-4,4,-4,4,-4,4,-4,4,-4,4,-3,1,4,-4,4,-4

%N Inverse to sequence matrix for odd numbers.

%C Riordan matrix ((1-x)^2/(1+x), x). Inverse matrix is A099375 Row sums yield (-1)^n*A040000. Diagonal sums are (-1)(2n+1)=(-1)^n*A005408.

%F Number triangle T(n, k)=if(k<=n, 4(-1)^(n-k)-3*0^(n-k)+C(1, n-k)-C(0, n-k), 0)

%e Rows begin {1}, {-3,1}, {4,-3,1}, {-4,4,-3,1}, {4,-4,4,-3,1},...

%K easy,sign,tabl

%O 0,2

%A _Paul Barry_, Jan 22 2005

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Last modified August 11 11:53 EDT 2024. Contains 375069 sequences. (Running on oeis4.)