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A187611 Number of 7-step one space for components leftwards or up, two space for components rightwards or down asymmetric quasi-bishop's tours (antidiagonal moves become knight moves) on an n X n board summed over all starting positions. 1
0, 0, 0, 0, 48, 616, 2936, 8530, 17611, 32086, 51955, 76258, 105978, 140386, 179482, 223266, 271738, 324898, 382746, 445282, 512506, 584418, 661018, 742306, 828282, 918946, 1014298, 1114338, 1219066, 1328482, 1442586, 1561378, 1684858, 1813026 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Row 7 of A187606.

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..50

FORMULA

Empirical: a(n) = 2344*n^2 - 28880*n + 85282 for n>11.

Conjectures from Colin Barker, Apr 25 2018: (Start)

G.f.: x^5*(48 + 472*x + 1232*x^2 + 1522*x^3 + 213*x^4 + 1907*x^5 - 960*x^7 + 983*x^8 - 729*x^9) / (1 - x)^3.

a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3) for n>14.

(End)

EXAMPLE

Some solutions for 5 X 5:

..0..0..5..0..0....0..0..2..0..0....0..4..0..0..0....0..0..2..0..0

..4..0..0..1..0....4..0..0..1..0....0..0..3..0..0....1..0..0..7..0

..0..3..0..0..6....0..3..0..0..6....5..0..0..2..0....0..6..0..0..3

..0..0..2..0..0....0..0..5..0..0....0..7..0..0..1....0..0..5..0..0

..0..0..0..7..0....0..0..0..7..0....0..0..6..0..0....0..0..0..4..0

CROSSREFS

Cf. A187606.

Sequence in context: A179404 A171343 A151624 * A160286 A008658 A215893

Adjacent sequences:  A187608 A187609 A187610 * A187612 A187613 A187614

KEYWORD

nonn

AUTHOR

R. H. Hardin, Mar 11 2011

STATUS

approved

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Last modified May 7 11:32 EDT 2021. Contains 343650 sequences. (Running on oeis4.)