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Search: id:A084614
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| A084614 |
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Triangle, read by rows, where the n-th row lists the (2n+1) coefficients of (1+x-3x^2)^n. |
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+0
3
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| 1, 1, 1, -3, 1, 2, -5, -6, 9, 1, 3, -6, -17, 18, 27, -27, 1, 4, -6, -32, 19, 96, -54, -108, 81, 1, 5, -5, -50, 5, 211, -15, -450, 135, 405, -243, 1, 6, -3, -70, -30, 366, 181, -1098, -270, 1890, -243, -1458, 729, 1, 7, 0, -91, -91, 546, 637, -2015, -1911, 4914, 2457, -7371, 0, 5103, -2187, 1, 8, 4, -112, -182, 728, 1456
(list; table; graph; listen)
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OFFSET
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0,4
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EXAMPLE
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Rows:
{1},
{1,1,-3},
{1,2,-5,-6,9},
{1,3,-6,-17,18,27,-27},
{1,4,-6,-32,19,96,-54,-108,81},
{1,5,-5,-50,5,211,-15,-450,135,405,-243},
{1,6,-3,-70,-30,366,181,-1098,-270,1890,-243,-1458,729},
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PROGRAM
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(PARI) for(n=0, 12, for(k=0, 2*n, t=polcoeff((1+x-3*x^2)^n, k, x); print1(t", ")); print(" "))
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CROSSREFS
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Cf. A002426, A084600-A084613, A084615.
Adjacent sequences: A084611 A084612 A084613 this_sequence A084615 A084616 A084617
Sequence in context: A033765 A033777 A033801 this_sequence A050058 A048226 A049919
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KEYWORD
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sign,tabl
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), Jun 01 2003
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