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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

Table of n, a(n) for n=0..65.

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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Last modified August 28 00:41 EDT 2015. Contains 261101 sequences.