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.

Showing 1-10 of 11 results. Next

A220757 Number of nX3 arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random 0..3 nX3 array.

Original entry on oeis.org

16, 268, 4328, 68212, 1094438, 17553448, 281649154, 4519836612, 72535767418, 1164089433866, 18681945395446, 299818413509296, 4811656811358998, 77220219019275294, 1239274253420409624, 19888582401879509716
Offset: 1

Views

Author

R. H. Hardin Dec 19 2012

Keywords

Comments

Column 3 of A220761

Examples

			Some solutions for n=3
..1..0..1....3..1..1....0..0..1....0..0..0....3..0..0....1..1..1....2..0..2
..0..0..2....2..1..2....0..0..2....2..0..1....3..0..2....2..0..2....3..0..0
..3..0..3....2..2..3....0..0..1....1..1..1....2..2..3....0..0..0....0..0..3
		

Formula

Empirical: a(n) = 18*a(n-1) -21*a(n-2) -138*a(n-3) -441*a(n-4) -137*a(n-5) +1764*a(n-6) -1136*a(n-7) +14709*a(n-8) +67123*a(n-9) +121526*a(n-10) -80625*a(n-11) -792044*a(n-12) -1086870*a(n-13) -773840*a(n-14) -232356*a(n-15) -156248*a(n-16) -229216*a(n-17) -86528*a(n-18)

A220758 Number of nX4 arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random 0..3 nX4 array.

Original entry on oeis.org

36, 708, 24934, 548130, 14683998, 380208068, 9770273902, 252723391836, 6524302568076, 168454068507408, 4350085132885326, 112325738184197486, 2900465800983255400, 74895716770099261710, 1933949707170534389126
Offset: 1

Views

Author

R. H. Hardin Dec 19 2012

Keywords

Comments

Column 4 of A220761

Examples

			Some solutions for n=3
..1..1..3..3....2..0..0..0....3..1..3..1....1..0..0..0....0..0..3..3
..1..1..3..1....1..0..0..0....1..1..1..1....1..0..1..0....1..0..2..1
..3..1..1..1....0..0..0..2....3..1..3..1....2..2..2..2....1..1..1..1
		

Formula

Empirical: a(n) = 27*a(n-1) +a(n-2) -68*a(n-3) -19944*a(n-4) +32202*a(n-5) -366806*a(n-6) -344162*a(n-7) +15645708*a(n-8) +386904618*a(n-9) +1605468711*a(n-10) -8682215207*a(n-11) -78537938933*a(n-12) -208552072676*a(n-13) +491361159633*a(n-14) +3431094062580*a(n-15) +12120704882974*a(n-16) +60720232090067*a(n-17) +102078457075308*a(n-18) -243273044500710*a(n-19) -4185445595713176*a(n-20) -12930074385916488*a(n-21) -1922629595776276*a(n-22) -3299597078536171*a(n-23) +159039644034236618*a(n-24) +782370861565903917*a(n-25) +6412556777179559410*a(n-26) +6133100920748595949*a(n-27) -41882141855763704337*a(n-28) -159326355659560116749*a(n-29) -163297657208749181397*a(n-30) +572123341282764490821*a(n-31) +1255229583783726960654*a(n-32) +1488502209761924258154*a(n-33) +988940775068036154969*a(n-34) +6779459528797080410846*a(n-35) +1313823383194793995760*a(n-36) -97328940790454219802756*a(n-37) -209463931263082261578826*a(n-38) -12548232830111895289756*a(n-39) +824823210803212904400308*a(n-40) +779310800259470202905381*a(n-41) -1298342472005470490372371*a(n-42) +797155389792804532051224*a(n-43) +11048483819972797709340490*a(n-44) +6080321908313837145985010*a(n-45) -45302692695747209380018605*a(n-46) -70999026208163113570367190*a(n-47) +71007484512972701691045139*a(n-48) +184293013927715950999656535*a(n-49) -281442135053111108184732426*a(n-50) -500881159231708052189115841*a(n-51) +949200365762267281715595095*a(n-52) +1976660100918469213599558080*a(n-53) -2108742879174070358386388390*a(n-54) -4435413149804422478078871865*a(n-55) +5324216480091762008996658012*a(n-56) +7452042438355837477317915019*a(n-57) -8577657839400234604430715748*a(n-58) -20252057676395727155218625915*a(n-59) +19527055142749768157186620745*a(n-60) +25148678453293867806624615880*a(n-61) -29549407986089189204388198551*a(n-62) -28952238339436623023694913717*a(n-63) +27790577254827940522738227784*a(n-64) +49237883586505974342032811871*a(n-65) -45995441582091648747603552108*a(n-66) +19787087816767962425926765404*a(n-67) +15785995571636887099831631932*a(n-68) -28237170212481440355269955812*a(n-69) -40259252050526281421801296864*a(n-70) -6863781714157965791634605104*a(n-71) +78456812405443228233291728220*a(n-72) -34927460819446521312392169304*a(n-73) -21650356288869917046673245936*a(n-74) +1963156324141012945623581408*a(n-75) +42630197123822889068328485944*a(n-76) -33870548551049723193264289184*a(n-77) -22046119727193068068885975648*a(n-78) +38552704964112017571370413600*a(n-79) -362470781177013401642583360*a(n-80) -1381223497910062770825013728*a(n-81) -16739401330703198687860181376*a(n-82) +4970715623803052430149915136*a(n-83) +5332800838136000359136661504*a(n-84) +178581973681933507453084416*a(n-85) -2932052182660659169718240256*a(n-86) -533938035446624512302912000*a(n-87) +874482649982525851622627328*a(n-88) +188809512870076407629365248*a(n-89) -122330833300625017107308544*a(n-90) -48607784672423021481885696*a(n-91) +13756551114957292453625856*a(n-92) +9547831666064583641530368*a(n-93) +732299333706987831558144*a(n-94) -47877015262019620700160*a(n-95) +32323357902855494172672*a(n-96) +2542332899731150209024*a(n-97) -193251539677656121344*a(n-98) -2565554407382974464*a(n-99)

A220759 Number of nX5 arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random 0..3 nX5 array.

Original entry on oeis.org

94, 4766, 354706, 21154028, 1383229596, 89823059958, 5844655062086, 380950402642858, 24841949081122388, 1620378210376064708, 105707946727795072338, 6896451408666528085666, 449942432289082853914138
Offset: 1

Views

Author

R. H. Hardin Dec 19 2012

Keywords

Comments

Column 5 of A220761

Examples

			Some solutions for n=3
..1..0..2..0..0....0..0..3..0..0....0..0..1..0..3....0..0..0..1..0
..0..0..2..0..3....1..0..3..0..1....0..0..0..0..0....0..0..0..0..0
..0..0..0..0..2....3..1..3..1..1....3..0..2..0..2....3..1..0..1..0
		

A220760 Number of nX6 arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random 0..3 nX6 array.

Original entry on oeis.org

236, 15724, 2715804, 252705768, 30118695378, 3442732323766, 390885525849628, 44672658134562232, 5096442065865772706, 581473363549735322116, 66354356746681426011986, 7571457447988696073877188
Offset: 1

Views

Author

R. H. Hardin Dec 19 2012

Keywords

Comments

Column 6 of A220761

Examples

			Some solutions for n=3
..0..0..0..2..2..3....0..1..0..1..1..2....0..0..0..1..1..3....0..0..2..3..2..2
..0..0..0..2..0..3....0..0..0..2..1..1....0..0..0..2..0..1....0..0..0..0..1..1
..0..1..0..2..0..0....0..2..0..3..1..3....0..0..2..3..0..0....0..0..0..0..1..1
		

A220762 Number of 2Xn arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random 0..3 2Xn array.

Original entry on oeis.org

16, 28, 268, 708, 4766, 15724, 88434, 331024, 1683150, 6777522, 32549034, 136712744, 635507042, 2735089882, 12478735816, 54465787400, 245847114384, 1081768683254, 4852872926630, 21453251299430, 95899957070006
Offset: 1

Views

Author

R. H. Hardin Dec 19 2012

Keywords

Comments

Row 2 of A220761

Examples

			Some solutions for n=3
..2..1..2....1..0..3....2..2..2....1..0..3....2..2..2....0..0..0....1..0..0
..1..1..3....3..0..0....2..2..3....0..0..2....3..2..3....2..0..3....1..0..3
		

Formula

Empirical: a(n) = 2*a(n-1) +13*a(n-2) -10*a(n-3) +12*a(n-4) -41*a(n-5) +6*a(n-6) -16*a(n-7) -40*a(n-8) +4*a(n-9) +64*a(n-11) +32*a(n-12)

A220763 Number of 3Xn arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random 0..3 3Xn array.

Original entry on oeis.org

64, 192, 4328, 24934, 354706, 2715804, 31659166, 277952034, 2954256382, 27594850862, 281218334508, 2702246506854, 27016733242156, 262977482298808, 2606430063309362, 25520149513177148, 251935677082462500
Offset: 1

Views

Author

R. H. Hardin Dec 19 2012

Keywords

Comments

Row 3 of A220761

Examples

			Some solutions for n=3
..3..0..2....2..0..1....1..1..1....0..0..2....1..1..2....1..1..1....1..1..3
..2..0..0....2..0..0....2..0..3....1..0..3....2..0..1....3..1..1....1..1..3
..2..0..1....3..0..3....0..0..1....0..0..2....3..0..0....1..1..2....1..1..2
		

A220764 Number of 4Xn arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random 0..3 4Xn array.

Original entry on oeis.org

256, 956, 68212, 548130, 21154028, 252705768, 7140289348, 106444390252, 2538132156370, 42707545977344, 928959886709234, 16705185128697224, 345677236914253406, 6446898251377310532, 129826343410954387220
Offset: 1

Views

Author

R. H. Hardin Dec 19 2012

Keywords

Comments

Row 4 of A220761

Examples

			Some solutions for n=3
..1..0..0....2..1..3....3..0..0....2..0..2....0..0..2....1..0..3....1..1..1
..2..0..3....1..0..2....0..0..0....3..0..0....1..0..1....0..0..0....1..0..2
..0..0..0....0..0..0....0..0..3....2..0..2....3..1..3....0..0..2....0..0..1
..0..0..1....2..0..1....1..0..2....1..1..1....2..1..1....2..0..3....1..0..0
		

A220765 Number of 5Xn arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random 0..3 5Xn array.

Original entry on oeis.org

1024, 5494, 1094438, 14683998, 1383229596, 30118695378, 1934925188892, 55544210268658, 2886907348105332, 96532019802189416, 4470062232868197086, 162590707759649145912, 7069322362385242133824, 269306206505914142709646
Offset: 1

Views

Author

R. H. Hardin Dec 19 2012

Keywords

Comments

Row 5 of A220761

Examples

			Some solutions for n=3
..0..0..2....0..0..0....0..0..2....0..0..2....0..0..0....0..0..0....0..0..0
..0..0..3....2..0..3....2..0..0....0..0..3....2..0..0....3..0..1....2..0..2
..2..0..3....3..1..1....3..0..1....2..0..0....3..0..0....3..0..3....3..1..2
..1..0..1....1..1..3....1..1..1....3..0..0....0..0..2....3..0..0....3..1..1
..0..0..0....2..1..2....1..1..1....2..0..3....0..0..2....1..0..1....3..1..2
		

A220756 Number of n X n arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random 0..3 n X n array.

Original entry on oeis.org

4, 28, 4328, 548130, 1383229596, 3442732323766, 136599937752568134
Offset: 1

Views

Author

R. H. Hardin Dec 19 2012

Keywords

Comments

Diagonal of A220761

Examples

			Some solutions for n=3
..2..1..2....0..0..3....2..1..1....3..0..1....1..0..1....2..1..3....2..1..3
..3..0..1....1..0..0....2..0..1....1..0..0....0..0..3....1..1..2....1..1..1
..0..0..3....1..0..1....2..0..0....0..0..0....2..0..2....3..1..1....1..1..1
		

A220766 Number of 6Xn arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random 0..3 6Xn array.

Original entry on oeis.org

4096, 30888, 17553448, 380208068, 89823059958, 3442732323766
Offset: 1

Views

Author

R. H. Hardin Dec 19 2012

Keywords

Comments

Row 6 of A220761

Examples

			Some solutions for n=3
..0..0..0....0..0..0....0..0..0....0..0..0....0..0..0....0..0..0....0..0..0
..0..0..0....0..0..0....0..0..0....0..0..0....0..0..0....0..0..0....0..0..0
..0..0..1....2..1..2....1..1..2....0..0..0....1..1..3....1..0..2....1..1..3
..0..0..2....3..2..2....2..1..2....3..0..3....1..0..3....2..0..1....1..0..3
..2..0..2....3..1..3....1..1..3....2..3..2....0..0..3....0..0..0....2..0..0
..2..2..3....3..1..1....3..1..1....2..2..2....0..0..1....0..0..1....3..0..0
		
Showing 1-10 of 11 results. Next