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

 Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 60th year, we have over 367,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”). Other ways to Give
 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A187853 Number of 5-step king-knight's tours (piece capable of both kinds of moves) on an n X n board summed over all starting positions. 1
 0, 0, 5328, 49776, 177040, 408048, 744696, 1183632, 1723120, 2362864, 3102864, 3943120, 4883632, 5924400, 7065424, 8306704, 9648240, 11090032, 12632080, 14274384, 16016944, 17859760, 19802832, 21846160, 23989744, 26233584, 28577680 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS Row 5 of A187850. LINKS R. H. Hardin, Table of n, a(n) for n = 1..50 FORMULA Empirical: a(n) = 50128*n^2 - 312688*n + 476944 for n>7. Conjectures from Colin Barker, Apr 26 2018: (Start) G.f.: 8*x^3*(666 + 4224*x + 5462*x^2 + 2616*x^3 + 237*x^4 - 419*x^5 - 217*x^6 - 37*x^7) / (1 - x)^3. a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3) for n>10. (End) EXAMPLE Some solutions for 4 X 4: ..0..5..0..0....4..1..0..0....2..0..0..0....0..0..0..0....0..5..0..0 ..0..0..1..2....0..3..2..0....1..0..0..0....0..0..2..0....0..0..0..3 ..0..0..4..3....0..5..0..0....0..3..0..0....0..3..5..1....0..0..4..2 ..0..0..0..0....0..0..0..0....4..5..0..0....4..0..0..0....0..1..0..0 CROSSREFS Cf. A187850. Sequence in context: A133152 A252199 A317917 * A236274 A278895 A317918 Adjacent sequences: A187850 A187851 A187852 * A187854 A187855 A187856 KEYWORD nonn AUTHOR R. H. Hardin, Mar 14 2011 STATUS approved

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

Last modified December 10 19:44 EST 2023. Contains 367717 sequences. (Running on oeis4.)