The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A300851 Number of 6-cycles in the n-transposition graph. 3
 0, 0, 6, 2880, 83400, 1742400, 32810400, 600606720, 11049696000, 207712512000, 4024212192000, 80721349632000, 1680305519692800, 36334168206336000, 816328800967680000, 19051455560417280000, 461604030434426880000, 11603252352344260608000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 LINKS Robert Israel, Table of n, a(n) for n = 1..444 Eric Weisstein's World of Mathematics, Graph Cycle Eric Weisstein's World of Mathematics, Transposition Graph FORMULA a(n) = n!*(binomial(n,3) + 116*binomial(n,4) + 105*binomial(n,5) + 30*binomial(n,6)). - Andrew Howroyd, Mar 13 2018 a(n) = n!*binomial(n, 3)*(n^3 + 9*n^2 + 16*n - 152)/4. E.g.f.: x^3*(1+113*x-124*x^2+40*x^3)/(1-x)^7. - Robert Israel, Mar 14 2018 MAPLE seq(n!*binomial(n, 3)*(n^3 + 9*n^2 + 16*n - 152)/4, n=1..30); # Robert Israel, Mar 14 2018 MATHEMATICA Table[n! Binomial[n, 3] (n^3 + 9 n^2 + 16 n - 152)/4, {n, 20}] PROG (PARI) a(n) = n!*(binomial(n, 3) + 116*binomial(n, 4) + 105*binomial(n, 5) + 30*binomial(n, 6)); \\ Andrew Howroyd, Mar 13 2018 (PARI) x='x+O('x^99); concat([0, 0], Vec(serlaplace(x^3*(1+113*x-124*x^2+40*x^3)/(1-x)^7))) \\ Altug Alkan, Mar 14 2018 CROSSREFS Cf. A300843 (4-cycles). Sequence in context: A198667 A225066 A001326 * A089501 A290149 A187083 Adjacent sequences:  A300848 A300849 A300850 * A300852 A300853 A300854 KEYWORD nonn AUTHOR Eric W. Weisstein, Mar 13 2018 EXTENSIONS Terms a(9) and beyond from Andrew Howroyd, Mar 13 2018 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified January 27 22:22 EST 2022. Contains 350654 sequences. (Running on oeis4.)