login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A187296 T(n,k)=Number of n-step one space leftwards or up, two space rightwards or down asymmetric rook's tours on a kXk board summed over all starting positions 10
1, 4, 0, 9, 4, 0, 16, 18, 2, 0, 25, 40, 36, 0, 0, 36, 70, 98, 54, 0, 0, 49, 108, 198, 196, 90, 0, 0, 64, 154, 330, 480, 416, 144, 0, 0, 81, 208, 494, 876, 1208, 884, 108, 0, 0, 100, 270, 690, 1398, 2400, 3006, 1368, 72, 0, 0, 121, 340, 918, 2036, 4092, 6520, 6264, 2028, 54 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Table starts

.1.4...9...16....25.....36.....49......64......81.....100.....121.....144

.0.4..18...40....70....108....154.....208.....270.....340.....418.....504

.0.2..36...98...198....330....494.....690.....918....1178....1470....1794

.0.0..54..196...480....876...1398....2036....2790....3660....4646....5748

.0.0..90..416..1208...2400...4092....6208....8766...11752...15166...19008

.0.0.144..884..3006...6520..11896...18832...27478...37696...49508...62896

.0.0.108.1368..6264..15596..31172...52256...79634..112568..151266..195512

.0.0..72.2028.12778..37124..81362..145100..231552..338044..465734..613212

.0.0..54.2968.25716..87432.209700..399524..668522.1010572.1430378.1921532

.0.0...0.3096.44824.187924.505878.1044900.1847506.2912204.4254568

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..201

FORMULA

Empirical: T(1,k) = k^2

Empirical: T(2,k) = 4*k^2 - 6*k for k>1

Empirical: T(3,k) = 16*k^2 - 44*k + 18 for k>3

Empirical: T(4,k) = 58*k^2 - 232*k + 180 for k>5

Empirical: T(5,k) = 214*k^2 - 1080*k + 1152 for k>7

Empirical: T(6,k) = 788*k^2 - 4736*k + 6256 for k>9

Empirical: T(7,k) = 2776*k^2 - 19580*k + 30728 for k>11

Empirical: T(8,k) = 9878*k^2 - 79388*k + 143388 for k>13

Empirical: T(9,k) = 35254*k^2 - 316744*k + 644876 for k>15

Empirical: T(10,k) = 124248*k^2 - 1238146*k + 2807812 for k>17

EXAMPLE

Some n=4 solutions for 4X4

..0..0..0..0....0..0..0..0....4..3..2..0....0..0..0..4....0..1..0..0

..0..0..0..1....3..2..4..0....0..0..1..0....0..2..0..3....0..3..0..4

..0..0..4..3....0..1..0..0....0..0..0..0....0..1..0..0....0..2..0..0

..0..0..0..2....0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0

CROSSREFS

Sequence in context: A344716 A187377 A187155 * A187046 A188777 A016683

Adjacent sequences:  A187293 A187294 A187295 * A187297 A187298 A187299

KEYWORD

nonn,tabl

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 | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified October 28 04:43 EDT 2021. Contains 348313 sequences. (Running on oeis4.)