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A076626
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Array of coefficients of polynomials p(n,x)=2^(n-1)*prod(i=0,n,x-cos(i*Pi/n)) of degree (n+1) with P(-1,x)) = 1, P(0,x) = 0 .
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1
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1, 0, 0, -1, 0, 1, 0, -2, 0, 2, 1, 0, -5, 0, 4, 0, 4, 0, -12, 0, 8, -1, 0, 13, 0, -28, 0, 16, 0, -6, 0, 38, 0, -64, 0, 32, 1, 0, -25, 0, 104, 0, -144, 0, 64, 0, 8, 0, -88, 0, 272, 0, -320, 0, 128, -1, 0, 41, 0, -280, 0, 688, 0, -704, 0, 256, 0, -10, 0, 170, 0, -832, 0, 1696, 0, -1536, 0, 512, 1, 0, -61, 0, 620, 0, -2352, 0, 4096, 0, -3328, 0, 1024
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,8
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COMMENTS
| Mirror image of triangle in A201863.- DELEHAM Philippe, Dec 07 2011
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FORMULA
| T(n,k) = 2*T(n-1,k-1) - T(n-2,k). - DELEHAM Philippe, Dec 07 2011
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EXAMPLE
| p(4,x)= 8*x^5 - 12*x^3 +4*x hence 0,4,0,-12,0,8 are terms in the sequence
Triangle begins :
1
0, 0
-1, 0, 1
0, -2, 0, 2
1, 0, -5, 0, 4
0, 4, 0, -12, 0, 8
-1, 0, 13, 0, -28, 0, 16
0, -6, 0, 38, 0, -64, 0, 32
1, 0, -25, 0, 104, 0, -144, 0, 64
- DELEHAM Philippe, Dec 07 2011
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CROSSREFS
| Cf. A201863, A201509
Sequence in context: A058548 A157030 A080844 * A182886 A108731 A060950
Adjacent sequences: A076623 A076624 A076625 * A076627 A076628 A076629
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KEYWORD
| sign,tabl
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AUTHOR
| Benoit Cloitre (benoit7848c(AT)orange.fr), Oct 22 2002
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EXTENSIONS
| Definition corrected by DELEHAM Philippe, Dec 07 2011
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