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Search: id:A090012
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| A090012 |
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Permanent of (0,1)-matrix of size n X (n+d) with d=2 and n-1 zeros not on a line. |
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+0
12
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| 3, 9, 39, 213, 1395, 10617, 91911, 890901, 9552387, 112203465, 1432413063, 19743404469, 292164206259, 4619383947513, 77708277841575, 1385712098571957, 26108441941918851, 518231790473609481, 10808479322484810087
(list; graph; listen)
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OFFSET
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1,1
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REFERENCES
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Brualdi, Richard A. and Ryser, Herbert J., Combinatorial Matrix Theory, Cambridge NY (1991), Chapter 7.
Seok-Zun Song et al., Extremes of permanents of (0,1)-matrices, Lin. Algebra and its Applic. 373 (2003), p. 197-210.
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FORMULA
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a(n) = (n+1)*a(n-1) + (n-2)*a(n-2), a(1)=3, a(2)=9
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MAPLE
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A090012 := proc(n, d) local r; if (n=1) then r := d+1 elif (n=2) then r := (d+1)^2 else r := (n+d-1)*A090012(n-1, d)+(n-2)*A090012(n-2, d) fi; RETURN(r); end: seq(A090012(n, 2), n=1..20);
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CROSSREFS
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a(n) = A000153(n-1) + A000153(n), a(1)=3
Cf. A000255, A000153, A000261, A001909, A001910, A090010, A055790, A090013-A090016.
Sequence in context: A130905 A030799 A058105 this_sequence A079096 A143293 A101395
Adjacent sequences: A090009 A090010 A090011 this_sequence A090013 A090014 A090015
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KEYWORD
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nonn,easy
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AUTHOR
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Jaap Spies (j.spies(AT)hccnet.nl), Dec 13 2003
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EXTENSIONS
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Corrected by Jaap Spies (j.spies(AT)hccnet.nl), Jan 26 2004
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