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A116949
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Riordan array ((1-x^3)/(1+2x^2),x).
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3
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1, 0, 1, -2, 0, 1, -1, -2, 0, 1, 4, -1, -2, 0, 1, 2, 4, -1, -2, 0, 1, -8, 2, 4, -1, -2, 0, 1, -4, -8, 2, 4, -1, -2, 0, 1, 16, -4, -8, 2, 4, -1, -2, 0, 1, 8, 16, -4, -8, 2, 4, -1, -2, 0, 1, -32, 8, 16, -4, -8, 2, 4, -1, -2, 0, 1, -16, -32, 8, 16, -4, -8, 2, 4, -1, -2, 0, 1, 64, -16, -32, 8, 16, -4, -8, 2, 4, -1, -2, 0, 1
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,4
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COMMENTS
| Sequence array of (-2)^(n/2)(1+(-1)^n)/2-(-2)^((n-3)/2)(1-(-1)^n)/2-(comb(1,n)-comb(0,n))/2. Inverse of A110128 [this cross-reference is wrong - N. J. A. Sloane (njas(AT)research.att.com), Jan 01 2008]. Row sums are A117575. Diagonal sums are A117576.
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EXAMPLE
| Number triangle begins
1,
0, 1,
-2, 0, 1,
-1, -2, 0, 1,
4, -1, -2, 0, 1,
2, 4, -1, -2, 0, 1,
-8, 2, 4, -1, -2, 0, 1,
-4, -8, 2, 4, -1, -2, 0, 1,
16, -4, -8, 2, 4, -1, -2, 0, 1
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CROSSREFS
| Sequence in context: A025871 A051010 A130027 * A204427 A178146 A114708
Adjacent sequences: A116946 A116947 A116948 * A116950 A116951 A116952
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KEYWORD
| easy,sign,tabl
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Mar 29 2006
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EXTENSIONS
| Entry revised by N. J. A. Sloane (njas(AT)research.att.com), Apr 10 2006
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