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A123254
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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.
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0
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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)
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OFFSET
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0,8
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LINKS
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Table of n, a(n) for n=0..65.
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FORMULA
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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).
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EXAMPLE
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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;
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CROSSREFS
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Cf. A000108, A007318.
Sequence in context: A119537 A031438 A096964 * A119969 A051343 A205826
Adjacent sequences: A123251 A123252 A123253 * A123255 A123256 A123257
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KEYWORD
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sign,tabl
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AUTHOR
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Philippe DELEHAM, Oct 08 2006
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STATUS
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approved
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