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Search: id:A084610
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| A084610 |
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Triangle, read by rows, where the n-th row lists the (2n+1) coefficients of (1+x-x^2)^n. |
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+0
10
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| 1, 1, 1, -1, 1, 2, -1, -2, 1, 1, 3, 0, -5, 0, 3, -1, 1, 4, 2, -8, -5, 8, 2, -4, 1, 1, 5, 5, -10, -15, 11, 15, -10, -5, 5, -1, 1, 6, 9, -10, -30, 6, 41, -6, -30, 10, 9, -6, 1, 1, 7, 14, -7, -49, -14, 77, 29, -77, -14, 49, -7, -14, 7, -1, 1, 8, 20, 0, -70, -56, 112, 120, -125, -120, 112, 56, -70, 0, 20, -8, 1, 1, 9, 27, 12, -90, -126, 126, 288
(list; table; graph; listen)
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OFFSET
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0,6
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EXAMPLE
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Rows:
{1},
{1,1,-1},
{1,2,-1,-2,1},
{1,3,0,-5,0,3,-1},
{1,4,2,-8,-5,8,2,-4,1},
{1,5,5,-10,-15,11,15,-10,-5,5,-1},
{1,6,9,-10,-30,6,41,-6,-30,10,9,-6,1},
{1,7,14,-7,-49,-14,77,29,-77,-14,49,-7,-14,7,-1},
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PROGRAM
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(PARI) for(n=0, 12, for(k=0, 2*n, t=polcoeff((1+x-x^2)^n, k, x); print1(t", ")); print(" "))
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CROSSREFS
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Cf. A002426, A084600-A084609, A084611-A084615.
Adjacent sequences: A084607 A084608 A084609 this_sequence A084611 A084612 A084613
Sequence in context: A090001 A117166 A078996 this_sequence A129479 A075104 A008289
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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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