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 A123254 Triangle T(n,k), 0<=k<=n, read by rows given by [ -1,1,-1,1,-1,1,-1,1,-1,1,...] DELTA [1,-1,1,-1,1,-1,1,-1,1,-1,...] where DELTA is the operator defined in A084938. 0
 1, -1, 1, 0, 0, 0, 1, -3, 3, -1, 0, 0, 0, 0, 0, -2, 10, -20, 20, -10, 2, 0, 0, 0, 0, 0, 0, 0, 5, -35, 105, -175, 175, -105, 35, -5, 0, 0, 0, 0, 0, 0, 0, 0, 0, -14, 126, -504, 1176, -1764, 1764, -1176, 504, -126, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,8 LINKS FORMULA T(n,k)=(-1)^k*A105523(n)*binomial(n,k) . T(n,n)=A090192(n) . Sum_{k, 0<=k<=n}T(n,k)= 0^n= A000007(n). EXAMPLE Triangle begins: 1; -1, 1; 0, 0, 0; 1, -3, 3, -1; 0, 0, 0, 0, 0; -2, 10, -20, 20, -10, 2; 0, 0, 0, 0, 0, 0, 0; 5, -35, 105, -175, 175, -106, 35, -5; 0, 0, 0, 0, 0, 0, 0, 0, 0; CROSSREFS Cf. A000108, A007318. Sequence in context: A119537 A031438 A096964 * A119969 A051343 A261477 Adjacent sequences:  A123251 A123252 A123253 * A123255 A123256 A123257 KEYWORD sign,tabl AUTHOR Philippe Deléham, Oct 08 2006 STATUS approved

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