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 A000181 Coefficients of ménage hit polynomials. (Formerly M2076 N0820) 3
 2, 15, 60, 469, 3660, 32958, 328920, 3614490, 43341822, 563144725, 7880897892, 118177520295, 1890389939000, 32130521850972, 578260307815920, 10985555094348948, 219687969344126490, 4613039009310624795, 101479234383619208204, 2333872309936442446905 (list; graph; refs; listen; history; text; internal format)
 OFFSET 4,1 REFERENCES J. Riordan, An Introduction to Combinatorial Analysis, Wiley, 1958, p. 197. N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence). N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). LINKS Sean A. Irvine, Table of n, a(n) for n = 4..250 FORMULA 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 Conjecture: a(n) + 2*a(n+p) + a(n+2*p) is divisible by p for any prime p > 3. - Mark van Hoeij, Jun 10 2019 CROSSREFS A diagonal of A058087. Cf. A000179, A000425. Sequence in context: A084169 A337905 A296661 * A047146 A084187 A267596 Adjacent sequences: A000178 A000179 A000180 * A000182 A000183 A000184 KEYWORD nonn AUTHOR N. J. A. Sloane, Simon Plouffe STATUS approved

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Last modified September 22 05:50 EDT 2023. Contains 365519 sequences. (Running on oeis4.)