cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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A068240 1/2 the number of colorings of a 4 X 4 square array with n colors.

Original entry on oeis.org

1, 3906, 3000366, 414425080, 19064362455, 428429377026, 5861180425996, 55823546748096, 403783634784285, 2353615149832210, 11531349080992026, 48981767072238936, 184656623163700051, 629125059062885490, 1964980839044519640, 5691311662142685376
Offset: 2

Views

Author

R. H. Hardin, Feb 24 2002

Keywords

Crossrefs

Programs

  • Maple
    a:= n-> n*(n-1)*(17493+(-94782+(251492+(-430857+(529770+(-492434 +(355622+(-202160+(90723+(-31939+(8675+(-1762+(253 +(-23+n)*n)*n) *n)*n)*n)*n) *n)*n) *n)*n) *n)*n)*n) /2:
    seq(a(n), n=2..30); # Alois P. Heinz, Apr 27 2012

Formula

From Alois P. Heinz, Apr 27 2012 (Start)
G.f.: -(2507986*x^14 +349887529*x^13 +12282125725*x^12 +158263444274*x^11 +896159384816*x^10 +2455337616143*x^9 +3417678462327*x^8 +2453922059100*x^7 +895941969162*x^6 +158666067383*x^5 +12424532171*x^4 +363949394*x^3 +2934100*x^2 +3889*x+1)*x^2 / (x-1)^17.
a(n) = n*(n-1)*(n^14 -23*n^13 +253*n^12 -1762*n^11 +8675*n^10 -31939*n^9 +90723*n^8 -202160*n^7 +355622*n^6 -492434*n^5 +529770*n^4 -430857*n^3 +251492*n^2 -94782*n +17493)/2.
(End)

A068241 1/2 the number of colorings of a 5 X 5 square array with n colors.

Original entry on oeis.org

1, 290493, 10221446382, 25410195205090, 10988934663584655, 1515888422040128871, 94793386050673781548, 3330373652089796835972, 75543449548467802433805, 1216257376373886871239985, 14865437328242111405302266, 144907139188443182894343078
Offset: 2

Views

Author

R. H. Hardin, Feb 24 2002

Keywords

Crossrefs

Programs

  • Maple
    a:= n-> n*(n-1)*(-32126211 +(258309564 +(-1033880579 +(2734090327 +(-5348136944 +(8212654097 +(-10260465459 +(10671809555 +(-9383152441 +(7046057296 +(-4548768800 +(2534102852 +(-1219915634 +(507043269 +(-181400963 +(55554975 +(-14442408 +(3148503 +(-565677 +(81675 +(-9123+(741 +(-39+n)*n) *n)*n)*n)*n) *n)*n)*n) *n)*n)*n) *n)*n)*n) *n)*n)*n) *n)*n)*n) *n)*n)/2:
    seq(a(n), n=2..30); # Alois P. Heinz, Apr 27 2012

Formula

From Alois P. Heinz, Apr 27 2012 (Start)
G.f.: (64045717133*x^23 +99613598986379*x^22 +30122616672179057*x^21 +2905816841816465011*x^20 +116885162434957285435*x^19 +2301461202426082443493*x^18 +24565180390104215669199*x^17 +152051416127748639010437*x^16 +570955972331169762888066*x^15 +1339611184016759341097870*x^14 +1999028208566595454861898*x^13 +1912423825883782158177854*x^12 +1171838449935804166262422*x^11 +455354414964383806296586*x^10 +109981844564513940260830*x^9 +15982890606970244203818*x^8 +1330217331928452928929*x^7 +58885777127277221367*x^6 +1238407862810793461*x^5 +10331590803059615*x^4 +25144532006783*x^3 +10213893889*x^2 +290467*x+1)*x^2 / (x-1)^26.
a(n) = n*(n-1)*(n^23 -39*n^22 +741*n^21 -9123*n^20 +81675*n^19 -565677*n^18 +3148503*n^17 -14442408*n^16 +55554975*n^15 -181400963*n^14 +507043269*n^13 -1219915634*n^12 +2534102852*n^11 -4548768800*n^10 +7046057296*n^9 -9383152441*n^8 +10671809555*n^7 -10260465459*n^6 +8212654097*n^5 -5348136944*n^4 +2734090327*n^3 -1033880579*n^2 +258309564*n -32126211)/2.
(End)

A068242 1/2 the number of colorings of a 6 X 6 square array with n colors.

Original entry on oeis.org

1, 50798448, 190026633752982, 16460573816989545700, 111739638856566209416695, 143179601228065200130305876, 57851338756390824653502708508, 10086461440383360741777407234232, 929834945885124428238498952273725, 52047326332129638504907000521132040
Offset: 2

Views

Author

R. H. Hardin, Feb 24 2002

Keywords

Crossrefs

Extensions

More terms from Alois P. Heinz, Apr 27 2012

A068243 1/2 the number of colorings of a 7 X 7 square array with n colors.

Original entry on oeis.org

1, 20934997854, 19278946338342653286, 112656664890078627543093640, 20043672552286729048799884311015, 361011452813936865714801000277216206, 1332266848133993021484807934080054103804, 1550797305138088176220498521209275420942656
Offset: 2

Views

Author

R. H. Hardin, Feb 24 2002

Keywords

Crossrefs

Extensions

More terms from Alois P. Heinz, Apr 27 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

Views

Author

R. H. Hardin, Feb 24 2002

Keywords

Crossrefs

Extensions

a(6)-a(9) from Alois P. Heinz, Apr 27 2012

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

Views

Author

R. H. Hardin, Feb 24 2002

Keywords

Crossrefs

Extensions

a(6)-a(8) from Alois P. Heinz, Apr 27 2012

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

Views

Author

R. H. Hardin, Feb 24 2002

Keywords

Crossrefs

Extensions

a(6)-a(8) from Alois P. Heinz, Apr 27 2012

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

Views

Author

R. H. Hardin, Feb 24 2002

Keywords

Crossrefs

Extensions

a(5)-a(8) from Alois P. Heinz, Apr 27 2012

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

Views

Author

R. H. Hardin, Feb 24 2002

Keywords

Crossrefs

Extensions

a(5)-a(8) from Alois P. Heinz, Apr 27 2012

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

Views

Author

R. H. Hardin, Feb 24 2002

Keywords

Crossrefs

Extensions

a(5)-a(8) from Alois P. Heinz, Apr 27 2012
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