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A080018
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Triangle of coefficients of polynomials P(n; x) = Permanent(M), where M=[m(i,j)] is n X n matrix defined by m(i,j)=x if -1<=i-j<=1 else m(i,j)=1.
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5
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1, 0, 1, 0, 0, 2, 0, 1, 2, 3, 1, 2, 10, 6, 5, 4, 20, 28, 44, 16, 8, 29, 104, 207, 180, 151, 36, 13, 206, 775, 1288, 1407, 830, 437, 76, 21, 1708, 6140, 10366, 10384, 7298, 3100, 1138, 152, 34, 15702, 55427, 91296, 92896, 63140, 31278, 10048, 2744, 294, 55
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,6
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EXAMPLE
| 1; 0,1; 0,0,2; 0,1,2,3; 1,2,10,6,5; 4,20,28,44,16,8;...
P(4; x) = Permanent(MATRIX([[x, x, 1, 1], [x, x, x, 1], [1, x, x, x], [1, 1, x, x]])) = 1+2*x+10*x^2+6*x^3+5*x^4.
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CROSSREFS
| Row sums = A000142, first column = A001883, second column = A001884, third column = A001885, fourth column = A001886.
Sequence in context: A071433 A110657 A071512 * A079686 A005813 A049262
Adjacent sequences: A080015 A080016 A080017 * A080019 A080020 A080021
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KEYWORD
| nonn,tabl
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AUTHOR
| Vladeta Jovovic, Vladimir Baltic, (vladeta(AT)eunet.rs), Jan 20 2003
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