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 A159738 Number of permutations of 7 indistinguishable copies of 1..n arranged in a circle with exactly 1 local maximum. 8
 14, 168, 1792, 17920, 172032, 1605632, 14680064, 132120576, 1174405120, 10334765056, 90194313216, 781684047872, 6734508720128, 57724360458240, 492581209243648, 4186940278571008, 35465847065542656, 299489375220137984 (list; graph; refs; listen; history; text; internal format)
 OFFSET 2,1 LINKS R. H. Hardin, Table of n, a(n) for n=2..100 Index entries for linear recurrences with constant coefficients, signature (16,-64). FORMULA a(n) = (copies*n)*(copies+1)^(n-2). From G. C. Greubel, Jun 01 2018: (Start) a(n) = 7*n*8^(n-2). a(n) = 16*a(n-1) - 64*a(n-2). G.f.: x^2*(14-56*x)/(1-16*x+64*x^2). E.g.f.: 7*x*exp(8*x)/8. (End) From Amiram Eldar, May 16 2022: (Start) Sum_{n>=2} 1/a(n) = (64/7)*log(8/7) - 8/7. Sum_{n>=2} (-1)^n/a(n) = 8/7 - (64/7)*log(9/8). (End) MATHEMATICA LinearRecurrence[{16, -64}, {14, 168}, 30] (* or *) Table[7*n*8^(n-2), {n, 2, 30}] (* G. C. Greubel, Jun 01 2018 *) PROG (PARI) for(n=2, 30, print1(7*n*8^(n-2), ", ")) \\ G. C. Greubel, Jun 01 2018 (Magma) I:=[14, 168]; [n le 2 select I[n] else 16*Self(n-1) - 64*Self(n-2): n in [1..30]]; // G. C. Greubel, Jun 01 2018 CROSSREFS Cf. A159715, A159721, A159727, A159733, A159736, A159739, A159740. Sequence in context: A218089 A273587 A125449 * A062148 A200164 A199529 Adjacent sequences: A159735 A159736 A159737 * A159739 A159740 A159741 KEYWORD nonn AUTHOR R. H. Hardin, Apr 20 2009 STATUS approved

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Last modified June 13 00:21 EDT 2024. Contains 373362 sequences. (Running on oeis4.)