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A201510 Number of ways to place 9 nonattacking wazirs on an n X n board. 3
0, 0, 0, 0, 2578, 1247116, 97284860, 2817340064, 44218721793, 457851259868, 3506596268191, 21355746900992, 108582220087480, 477032549147428, 1857084405493128, 6529640029479296, 21044674478336823, 62903854631232636, 176034055470126073, 464793685059669728 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Wazir is a leaper [0,1].

LINKS

Table of n, a(n) for n=1..20.

V. Kotesovec, Non-attacking chess pieces

FORMULA

Explicit formula: n^18/362880 - n^16/2016 + n^15/2520 + 349*n^14/8640 - 23*n^13/360 - 277*n^12/144 + 163*n^11/36 + 199529*n^10/3456 - 4381*n^9/24 - 313811*n^8/288 + 1622087*n^7/360 + 1073654363*n^6/90720 - 12207881*n^5/180 - 24979477*n^4/504 + 72278641*n^3/126 - 11491519*n^2/45 - 6271604*n/3 + 2530368, n>=8.

G.f.: x^5*(14*x^21 - 226*x^20 + 2514*x^19 - 15414*x^18 + 54363*x^17 - 241813*x^16 + 1440666*x^15 - 4412622*x^14 - 2699713*x^13 + 64333547*x^12 - 202456488*x^11 + 209746960*x^10 + 407620979*x^9 - 1743413585*x^8 + 2469587594*x^7 - 1465834094*x^6 - 9995512037*x^5 - 6126508561*x^4 - 1179686478*x^3 - 74030494*x^2 - 1198134*x - 2578)/(x-1)^19.

CROSSREFS

Cf. A172225, A172226, A172227, A172228, A178409, A201507, A201508.

Sequence in context: A109026 A217183 A034415 * A303400 A235094 A171257

Adjacent sequences:  A201507 A201508 A201509 * A201511 A201512 A201513

KEYWORD

nonn

AUTHOR

Vaclav Kotesovec, Dec 02 2011

STATUS

approved

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Last modified August 10 07:14 EDT 2020. Contains 336368 sequences. (Running on oeis4.)