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A101038 Inverse to sequence matrix for odd numbers. 1
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, -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, -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 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
0,2
COMMENTS
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.
LINKS
FORMULA
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)
EXAMPLE
Rows begin {1}, {-3,1}, {4,-3,1}, {-4,4,-3,1}, {4,-4,4,-3,1},...
CROSSREFS
Sequence in context: A191818 A055171 A337209 * A064883 A090844 A008314
KEYWORD
easy,sign,tabl
AUTHOR
Paul Barry, Jan 22 2005
STATUS
approved

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Last modified July 23 23:47 EDT 2024. Contains 374575 sequences. (Running on oeis4.)