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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 Table of n, a(n) for n=0..81. 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 Adjacent sequences: A101035 A101036 A101037 * A101039 A101040 A101041 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.)