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Search: id:A114193
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| A114193 |
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Riordan array (1/(1+2xc(-2x)),xc(-2x)/(1+2xc(-2x)), c(x) the g.f. of A000108. |
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+0
5
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| 1, -2, 1, 8, -6, 1, -40, 36, -10, 1, 224, -224, 80, -14, 1, -1344, 1440, -600, 140, -18, 1, 8448, -9504, 4400, -1232, 216, -22, 1, -54912, 64064, -32032, 10192, -2184, 308, -26, 1, 366080, -439296, 232960, -81536, 20160, -3520, 416, -30, 1, -2489344, 3055104, -1697280, 639744, -176256, 35904, -5304, 540
(list; table; graph; listen)
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OFFSET
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0,2
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COMMENT
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Row sums are A114191. Diagonal sums are A114194. Inverse of A114192.
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FORMULA
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Riordan array ((sqrt(1+8x)-1)/(4x), (sqrt(1+8x)-1)^2/(16x)).
T(n, k) = (-2)^(n-k)*A039599(n, k) = (-2)^(n-k)*C(2*n, n-k)*(2*k+1)/(n+k+1) . - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 17 2005
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EXAMPLE
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Triangle begins
1;
-2, 1;
8, -6, 1;
-40, 36, -10, 1;
224, -224, 80, -14, 1;
-1344, 1440, -600, 140, -18, 1;
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CROSSREFS
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Sequence in context: A011244 A008517 A142336 this_sequence A039683 A108084 A108085
Adjacent sequences: A114190 A114191 A114192 this_sequence A114194 A114195 A114196
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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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