OFFSET
0,3
LINKS
J. L. Hock and R. B. McQuistan, A note on the occupational degeneracy for dimers on a saturated two-dimensional lattice space, Discrete Applied Mathematics, 1984, v.8, 101-104.
Per Hakan Lundow, Computation of matching polynomials and the number of 1-factors in polygraphs, Research report, No 12, 1996, Department of Math., Umea University, Sweden.
Per Hakan Lundow, Enumeration of matchings in polygraphs, 1998.
Index entries for linear recurrences with constant coefficients, signature (1, 285, 411, -18027, -20689, 472275, 271027, -6149853, -471319, 42303393, -10402780, -157353820, 58545372, 335484428, -123321948, -429447820, 123321948, 335484428, -58545372, -157353820, 10402780, 42303393, 471319, -6149853, -271027, 472275, 20689, -18027, -411, 285, -1, -1).
FORMULA
G.f.: (1 - 197x^2 - 214x^3 + 9741x^4 + 7262x^5 - 202037x^6 - 56736x^7 + 2064705x^8 - 156848x^9 - 11058754x^10 + 2972710x^11 + 32425754x^12 - 10324398x^13 - 54699758x^14 + 15137114x^15 + 54699758x^16 - 10324398x^17 - 32425754x^18 + 2972710x^19 + 11058754x^20 - 156848x^21 - 2064705x^22 - 56736x^23 + 202037x^24 + 7262x^25 - 9741x^26 - 214x^27 + 197x^28 - x^30)/(1 - x - 285x^2 - 411x^3 + 18027x^4 + 20689x^5 - 472275x^6 - 271027x^7 + 6149853x^8 + 471319x^9 - 42303393x^10 + 10402780x^11 + 157353820x^12 - 58545372x^13 - 335484428x^14 + 123321948x^15 + 429447820x^16 - 123321948x^17 - 335484428x^18 + 58545372x^19 + 157353820x^20 - 10402780x^21 - 42303393x^22 - 471319x^23 + 6149853x^24 + 271027x^25 - 472275x^26 - 20689x^27 + 18027x^28 + 411x^29 - 285x^30 + x^31 + x^32). - Sergey Perepechko, Nov 27 2012
MATHEMATICA
T[_?OddQ, _?OddQ] = 0;
T[m_, n_] := Product[2(2+Cos[2 j Pi/(m+1)]+Cos[2 k Pi/(n+1)]), {k, 1, n/2}, {j, 1, m/2}];
a[n_] := T[n, 10] // Round;
Table[a[n], {n, 0, 20}] (* Jean-François Alcover, May 28 2022 *)
PROG
(PARI) {a(n) = sqrtint(polresultant(polchebyshev(10, 2, x/2), polchebyshev(n, 2, I*x/2)))} \\ Seiichi Manyama, Apr 13 2020
CROSSREFS
KEYWORD
nonn
AUTHOR
STATUS
approved