A068250
1/24 the number of colorings of a 3 X 3 octagonal array with n colors.
Original entry on oeis.org
3, 280, 5265, 47040, 271250, 1170288, 4105710, 12334080, 32837805, 79365000, 177200023, 370319040, 731732820, 1377981920, 2488927500, 4334174208, 7307669895, 11972250360, 19116135885, 29823640000, 45562619718, 68291480400, 100588847450, 145809331200
Offset: 4
- Alois P. Heinz, Table of n, a(n) for n = 4..1000
- Index entries for linear recurrences with constant coefficients, signature (10,-45,120,-210,252,-210,120,-45,10,-1).
-
[n*(n-3)^4*(n^4-8*n^3+24*n^2-31*n+14)/24: n in [4..27]]; // Bruno Berselli, May 04 2012
-
a:= n-> (n-2)*(n-1)*(n^2-5*n+7)*(n-3)^4*n/24:
seq(a(n), n=4..40); # Alois P. Heinz, May 04 2012
A068251
1/24 the number of colorings of a 4 X 4 octagonal array with n colors.
Original entry on oeis.org
7, 38960, 11043135, 715016960, 19498281250, 301435761312, 3120392830170, 23965758136320, 146127409139745, 741378459250000, 3237913809747617, 12485709312410880, 43342515673364180, 137520873034108480, 403684061693062500, 1107133265664540672, 2859892150083272715
Offset: 4
-
a:= n-> (-5709042+ (30931875+ (-77301243+ (118705077+ (-125639547+ (97292827+ (-57031153+ (25795983+ (-9084089+ (2491825+ (-528254+ (85011+ (-10054+ (825+ (-42+n)*n) *n) *n) *n) *n) *n) *n) *n) *n) *n) *n) *n) *n) *n)*n/24:
seq(a(n), n=4..40); # Alois P. Heinz, May 04 2012
A068252
1/24 the number of colorings of a 5 X 5 octagonal array with n colors.
Original entry on oeis.org
15, 13544240, 138446293905, 122914516488960, 25999554922206250, 2153128175383358880, 92188903926678792030, 2420834781123276840960, 43619102772258066624945, 582825001391348708850000, 6107144216640392108077895, 52317129545418639168933120
Offset: 4
-
a:= n-> (749775400182+ (-5612178463551+ (20061456442182+ (-45672704671212+ (74464103614803+ (-92636079268387+ (91447345270476+ (-73522860568402+ (49016457219873+ (-27440963053418+ (13013052032729+ (-5257328793792+
(1815373485182+ (-536334824998+ (135430280705+ (-29134045002+ (5309217327+ (-812594023+ (103170636+ (-10676360+ (877812+ (-55183+ (2492+(-72+n)*n) *n)*n) *n)*n) *n)*n) *n)*n) *n)*n) *n)*n) *n)*n) *n) *n) *n) *n) *n) *n) *n) *n) *n/24:
seq(a(n), n=4..20); # Alois P. Heinz, May 04 2012
A068259
1/9 the number of colorings of an n X n square array with 9 colors.
Original entry on oeis.org
1, 456, 10556008, 12405232610688, 740083033797732630216, 2241435875640746831506090496496, 344621623364019594715666338046505649098368, 2689856201334666341950387692094152693428585565204907488, 1065825084866806867830786487316472449826266534389338451645760215077416
Offset: 1
A068260
1/10 the number of colorings of an n X n square array with 10 colors.
Original entry on oeis.org
1, 657, 28398249, 80756726956857, 15108689909693560486761, 185966989177024885647699790454745, 150593374425541553479383211835632929446205561, 8023000566482383689602595749344061213823653461060599304809
Offset: 1
A068261
1/11 the number of colorings of an n X n square array with 11 colors.
Original entry on oeis.org
1, 910, 68574970, 427930027242220, 221137704795252158407270, 9463150242205388819074000094751280, 33534479816787277910813101182508769902777523860, 9840797926202104384851368990911439263679557403782233656012620
Offset: 1
A068262
1/12 the number of colorings of an n X n square array with 12 colors.
Original entry on oeis.org
1, 1221, 151807051, 1921891513498671, 2477572888040351900883711, 325225549604893753518411953062063971, 4347138911747232969546330930965884363451764385131, 5916747359191672857470732990313720758880725307188900212460107911
Offset: 1
A068263
1/13 the number of colorings of an n X n square array with 13 colors.
Original entry on oeis.org
1, 1596, 312900732, 7535656472652144, 22293406028991258906822012, 8101633271611742223009066926458678872, 361667559847367304628616562064628954963501797097616, 1983295161343761814393139138003147798350023823439773839309854050176
Offset: 1
A068264
1/14 the number of colorings of an n X n square array with 14 colors.
Original entry on oeis.org
1, 2041, 607573213, 26379517594814293, 167050468491500466239591341, 154291202633461722211439840983290062101, 20784866912225492280036255590177557595914404425785093, 408381396036554226883965008789753221842213533941679955067209741195853
Offset: 1
A068265
1/15 the number of colorings of an n X n square array with 15 colors.
Original entry on oeis.org
1, 2562, 1121513134, 83883341208384732, 1071996076636962150571633386, 2340759471154169773945494478241264553960, 873306114650864371018759651512626175923988398193371716, 55670142239312854542084127479622099015674204276236803402441613218850844
Offset: 1