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Search: id:A080061
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| A080061 |
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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 0<=i-j<=2 else m(i,j)=1. |
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+0
6
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| 1, 0, 1, 0, 1, 1, 0, 1, 4, 1, 1, 4, 8, 10, 1, 5, 21, 38, 34, 21, 1, 33, 122, 209, 206, 109, 40, 1, 236, 849, 1400, 1351, 836, 295, 72, 1, 1918, 6719, 10849, 10543, 6629, 2821, 715, 125, 1, 17440, 59873, 95516, 92708, 60284, 26870, 8372, 1604, 212, 1, 175649, 593686
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OFFSET
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0,9
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EXAMPLE
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1; 0,1; 0,1,1; 0,1,4,1; 1,4,8,10,1; 5,21,38,34,21,1; ... P(5; x) = Permanent(Matrix(5, 5, [[x,1,1,1,1],[x,x,1,1,1],[x,x,x,1,1],[1,x,x,x,1],[1,1,x,x,x]]))= 5+21*x+38*x^2+34*x^3+21*x^4+x^5.
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CROSSREFS
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Row sums = A000142, first column = A001887, second column = A001888, third column = A001889, fourth column = A001890, A080018.
Sequence in context: A116669 A016523 A026998 this_sequence A124258 A001638 A133826
Adjacent sequences: A080058 A080059 A080060 this_sequence A080062 A080063 A080064
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KEYWORD
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nonn,tabl
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AUTHOR
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Vladeta Jovovic, Vladimir Baltic, (vladeta(AT)eunet.rs), Jan 23 2003
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