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 A025603 Number of n-move queen paths on 8x8 board from given corner to any square. 1
 1, 21, 465, 10565, 241697, 5539893, 127041105, 2913686981, 66827609633, 1532754884725, 35155272163473, 806321934125125, 18493816732267425, 424174583966543669, 9728877611505065297, 223141752041771533125, 5117984163043834408865, 117386198048567829057141 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Alois P. Heinz, Table of n, a(n) for n = 0..225 FORMULA G.f.: -(3*x-1) *(16*x^3-4*x^2-5*x+1) *(112*x^4-124*x^3-8*x^2+11*x-1) / (112896*x^9 -170880*x^8 +29184*x^7 +55636*x^6 -26128*x^5 +79*x^4 +2120*x^3 -482*x^2 +40*x-1). - Alois P. Heinz, Jun 26 2012 MAPLE b:= proc(n, i, j) option remember;       `if`(n<0 or i<0 or i>7 or j<0 or j>7, 0, `if`(n=0,       1, add (add (b(n-1, i+t*r[1], j+t*r[2]), r=[[1, 1],       [1, -1], [-1, 1], [-1, -1], [0, 1], [0, -1], [1, 0],       [-1, 0]]), t=1..7)))     end: a:= n-> b (n, 7, 7): seq (a(n), n=0..20);  # Alois P. Heinz, Jun 26 2012 MATHEMATICA b[n_, i_, j_] := b[n, i, j] = If[n<0 || i<0 || i>7 || j<0 || j>7, 0, If[n == 0, 1, Sum[Sum[b[n-1, i+t*r[[1]], j+t*r[[2]]], {r, {{1, 1}, {1, -1}, {-1, 1}, {-1, -1}, {0, 1}, {0, -1}, {1, 0}, {-1, 0}}}], {t, 1, 7}]]]; a[n_] := b[n, 7, 7]; Table[a[n], {n, 0, 30}] (* Jean-François Alcover, May 28 2015, after Alois P. Heinz *) CROSSREFS Sequence in context: A126996 A158603 A307600 * A296586 A269922 A006298 Adjacent sequences:  A025600 A025601 A025602 * A025604 A025605 A025606 KEYWORD nonn AUTHOR STATUS approved

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Last modified December 16 06:18 EST 2019. Contains 330016 sequences. (Running on oeis4.)