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A110951 a(n) = permanent of an n X n matrix M of zeros and ones defined as follows: if we concatenate the rows of M to form a vector v of length n^2, v_i = 0 if i is a Fibonacci number and v_i = 1, otherwise. 0
0, 2, 10, 117, 1218, 8544, 102528, 1073328, 13174560, 167191920, 2194456320, 34592423040, 566748161280, 8894849241600, 159020867174400, 3016954215475200, 59837217568128000, 1189832713214745600 (list; graph; refs; listen; history; text; internal format)
OFFSET

3,2

LINKS

Table of n, a(n) for n=3..20.

PROG

(PARI) permRWNb(a)=n=matsize(a)[1]; if(n==1, return(a[1, 1])); sg=1; in=vectorv(n); x=in; x=a[, n]-sum(j=1, n, a[, j])/2; p=prod(i=1, n, x[i]); for(k=1, 2^(n-1)-1, sg=-sg; j=valuation(k, 2)+1; z=1-2*in[j]; in[j]+=z; x+=z*a[, j]; p+=prod(i=1, n, x[i], sg)); return(2*(2*(n%2)-1)*p) for(n=1, 23, a=matrix(n, n, i, j, 1); m=2; f=0; while(m, qr=divrem(f, n); a[qr[1]+1, qr[2]+1]=0; f=fibonacci(m); if(f>n^2, m=0, f--; m++)); print1(permRWNb(a)", ")) - Herman Jamke (hermanjamke(AT)fastmail.fm), May 14 2007

CROSSREFS

Cf. A000045.

Sequence in context: A131811 A261496 A006121 * A172477 A265942 A120597

Adjacent sequences:  A110948 A110949 A110950 * A110952 A110953 A110954

KEYWORD

nonn

AUTHOR

Simone Severini, Sep 25 2005

EXTENSIONS

More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), May 14 2007

STATUS

approved

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Last modified May 15 06:46 EDT 2021. Contains 343909 sequences. (Running on oeis4.)