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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A187301 Number of 6-step one space leftwards or up, two space rightwards or down asymmetric rook's tours on an n X n board summed over all starting positions. 1
 0, 0, 144, 884, 3006, 6520, 11896, 18832, 27478, 37696, 49508, 62896, 77860, 94400, 112516, 132208, 153476, 176320, 200740, 226736, 254308, 283456, 314180, 346480, 380356, 415808, 452836, 491440, 531620, 573376, 616708, 661616, 708100, 756160 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS Row 6 of A187296. LINKS R. H. Hardin, Table of n, a(n) for n = 1..50 FORMULA Empirical: a(n) = 788*n^2 - 4736*n + 6256 for n>9. Conjectures from Colin Barker, Apr 23 2018: (Start) G.f.: 2*x^3*(72 + 226*x + 393*x^2 + 5*x^3 + 235*x^4 - 151*x^5 + 75*x^6 - 69*x^7 + 11*x^8 - 9*x^9) / (1 - x)^3. a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3) for n>12. (End) EXAMPLE Some solutions for 4 X 4: ..0..2..1..3....0..2..1..3....0..5..0..6....0..1..0..0....6..5..0..0 ..0..0..0..5....0..0..6..5....2..4..3..0....0..0..5..0....0..4..0..0 ..0..0..0..4....0..0..0..4....1..0..0..0....0..2..4..3....1..3..2..0 ..0..0..0..6....0..0..0..0....0..0..0..0....0..0..6..0....0..0..0..0 CROSSREFS Cf. A187296. Sequence in context: A234091 A234084 A223235 * A120089 A159748 A235957 Adjacent sequences: A187298 A187299 A187300 * A187302 A187303 A187304 KEYWORD nonn AUTHOR R. H. Hardin, Mar 08 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 August 12 18:44 EDT 2024. Contains 375113 sequences. (Running on oeis4.)