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Search: id:A114189
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| A114189 |
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Riordan array (1/(1+xc(-2x)),xc(-2x)/(1+xc(-2x)), c(x) the g.f. of A000108. |
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+0
5
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| 1, -1, 1, 3, -4, 1, -13, 19, -7, 1, 67, -102, 44, -10, 1, -381, 593, -278, 78, -13, 1, 2307, -3640, 1795, -568, 121, -16, 1, -14589, 23231, -11849, 4051, -999, 173, -19, 1, 95235, -152650, 79750, -28770, 7820, -1598, 234, -22, 1, -636925, 1025965, -545680, 204760, -59650, 13642, -2392, 304, -25, 1
(list; table; graph; listen)
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OFFSET
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0,4
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COMMENT
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Inverse of A114188. Factors as (1,xc(-2x))*(1/(1+x), x/(1+x)). Row sums are 0^n. Diagonal sums are A114190. First column is A114191. A signed version of A110506.
Triangle T(n,k),0<=k<=n, read by rows, given by [ -1,-2,-2,-2,-2,-2,-2,...] DELTA [1,0,0,0,0,0,0,0,0,0,...] where DELTA is the operator defined in A084938 . - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Mar 01 2007
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FORMULA
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Riordan array ((3-sqrt(1+8x))/(2(1-x)), (sqrt(1+8x)-2x-1)/(2(1-x))).
T(n,k)=(-1)^(n-k)*A110506(n,k) . - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Mar 24 2007
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EXAMPLE
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Triangle begins
1;
-1, 1;
3, -4, 1;
-13, 19, -7, 1;
67,-102, 44, -10, 1;
-381, 593,-278, 78, -13, 1;
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CROSSREFS
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Adjacent sequences: A114186 A114187 A114188 this_sequence A114190 A114191 A114192
Sequence in context: A123319 A076785 A110506 this_sequence A059110 A100326 A028338
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KEYWORD
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easy,sign,tabl
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Nov 16 2005
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