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A159733 Number of permutations of 5 indistinguishable copies of 1..n arranged in a circle with exactly 1 local maximum. 1
10, 90, 720, 5400, 38880, 272160, 1866240, 12597120, 83980800, 554273280, 3627970560, 23581808640, 152374763520, 979552051200, 6269133127680, 39965723688960, 253899891671040, 1608032647249920, 10155995666841600 (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 (12,-36).

FORMULA

a(n) = (copies*n)*(copies+1)^(n-2) where copies=5.

From Colin Barker, Mar 24 2018: (Start)

G.f.: 10*x^2*(1 - 3*x) / (1 - 6*x)^2.

a(n) = 12*a(n-1) - 36*a(n-2) for n>3. (End)

From G. C. Greubel, Jun 01 2018: (Start)

a(n) = 5*n*6^(n-2).

E.g.f.: 5*x*exp(6*x)/6. (End)

MATHEMATICA

LinearRecurrence[{12, -36}, {10, 90}, 30] (* or *) Table[5*n*6^(n-2), {n, 2, 30}] (* G. C. Greubel, Jun 01 2018 *)

PROG

(PARI) for(n=2, 30, print1(5*n*6^(n-2), ", ")) \\ G. C. Greubel, Jun 01 2018

(MAGMA) [5*n*6^(n-2): n in [2..30]]; // G. C. Greubel, Jun 01 2018

CROSSREFS

Sequence in context: A306957 A319893 A319874 * A265325 A038726 A009454

Adjacent sequences:  A159730 A159731 A159732 * A159734 A159735 A159736

KEYWORD

nonn

AUTHOR

R. H. Hardin, Apr 20 2009

STATUS

approved

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Last modified August 26 00:35 EDT 2019. Contains 326324 sequences. (Running on oeis4.)