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 A000181 Coefficients of ménage hit polynomials. (Formerly M2076 N0820) 3

%I M2076 N0820

%S 2,15,60,469,3660,32958,328920,3614490,43341822,563144725,7880897892,

%T 118177520295,1890389939000,32130521850972,578260307815920,

%U 10985555094348948,219687969344126490,4613039009310624795,101479234383619208204,2333872309936442446905

%N Coefficients of ménage hit polynomials.

%D J. Riordan, An Introduction to Combinatorial Analysis, Wiley, 1958, p. 197.

%D N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

%H Sean A. Irvine, <a href="/A000181/b000181.txt">Table of n, a(n) for n = 4..250</a>

%F Conjecture: +3*(2111*n-8303) *(n-4) *(-9+2*n)^2 *a(n) -(n-3) *(25332*n^4 -377236*n^3 +1898681*n^2 -3320738*n +484000) *a(n-1) -2*(n-4) *(12140*n^4 -118152*n^3 +337063*n^2 -377436*n +225720) *a(n-2) +(1052*n^5 -40656*n^4 +266063*n^3 -549153*n^2 +49850*n +655200) *a(n-3) +(263*n+640) *(n-3) *(-7+2*n)^2 *a(n-4)=0. - _R. J. Mathar_, Nov 02 2015

%Y A diagonal of A058087. Cf. A000179, A000425.

%K nonn

%O 4,1

%A _N. J. A. Sloane_, _Simon Plouffe_

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Last modified October 21 23:02 EDT 2018. Contains 316431 sequences. (Running on oeis4.)