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 12 results. Next

A251795 Number of (n+1)X(2+1) 0..3 arrays with no 2X2 subblock having x11-x00 less than x10-x01.

Original entry on oeis.org

1080, 28932, 724300, 18577404, 474547100, 12140516092, 310512400748, 7942655953980, 203162998830364, 5196687753697688, 132925430781676964, 3400084831220237312, 86970384462156604888, 2224605686320053022252
Offset: 1

Views

Author

R. H. Hardin, Dec 09 2014

Keywords

Comments

Column 2 of A251801

Examples

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

Formula

Empirical: a(n) = 30*a(n-1) -40*a(n-2) -2202*a(n-3) +7167*a(n-4) +41092*a(n-5) -170647*a(n-6) -169762*a(n-7) +1201353*a(n-8) -237196*a(n-9) -3305290*a(n-10) +2262184*a(n-11) +3737187*a(n-12) -3793360*a(n-13) -1475516*a(n-14) +2385944*a(n-15) -12352*a(n-16) -613952*a(n-17) +105792*a(n-18) +54144*a(n-19) -13824*a(n-20)

A251796 Number of (n+1)X(3+1) 0..3 arrays with no 2X2 subblock having x11-x00 less than x10-x01.

Original entry on oeis.org

6627, 348679, 17195593, 873945739, 44356434596, 2255553135793, 114701510008550, 5833986692886877, 296731470002944944, 15092940450644308394, 767684502371802140711, 39047592997403421809265
Offset: 1

Views

Author

R. H. Hardin, Dec 09 2014

Keywords

Comments

Column 3 of A251801

Examples

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

A251797 Number of (n+1)X(4+1) 0..3 arrays with no 2X2 subblock having x11-x00 less than x10-x01.

Original entry on oeis.org

36552, 3352272, 294088336, 26787273856, 2446811684440, 224175608341756, 20552060379396424, 1884978485974990408, 172902962249484086342, 15861042034905778115252, 1455015754461632248883532
Offset: 1

Views

Author

R. H. Hardin, Dec 09 2014

Keywords

Comments

Column 4 of A251801

Examples

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

A251798 Number of (n+1)X(5+1) 0..3 arrays with no 2X2 subblock having x11-x00 less than x10-x01.

Original entry on oeis.org

187000, 27291608, 3934266515, 594938582014, 90717637876583, 13902663302194715, 2134102396738819286, 327882361916540095426, 50392001598117407333828, 7746165276288696623011479
Offset: 1

Views

Author

R. H. Hardin, Dec 09 2014

Keywords

Comments

Column 5 of A251801

Examples

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

A251799 Number of (n+1)X(6+1) 0..3 arrays with no 2X2 subblock having x11-x00 less than x10-x01.

Original entry on oeis.org

905440, 195753488, 43510308650, 10280556043804, 2466029519190492, 596244004665414586, 144607697103715449366, 35128978291327271678332, 8539742853066868800341654, 2076797685218066186814306236
Offset: 1

Views

Author

R. H. Hardin, Dec 09 2014

Keywords

Comments

Column 6 of A251801

Examples

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

A251800 Number of (n+1)X(7+1) 0..3 arrays with no 2X2 subblock having x11-x00 less than x10-x01.

Original entry on oeis.org

4206453, 1271711747, 413630526506, 145329837643171, 52256028323545001, 19010586449609604592, 6950854990205965398511, 2548249927405969316226847, 935397563567598908162444188, 343605100623054019565873475859
Offset: 1

Views

Author

R. H. Hardin, Dec 09 2014

Keywords

Comments

Column 7 of A251801

Examples

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

A251802 Number of (2+1)X(n+1) 0..3 arrays with no 2X2 subblock having x11-x00 less than x10-x01.

Original entry on oeis.org

1740, 28932, 348679, 3352272, 27291608, 195753488, 1271711747, 7634258216, 42987423526, 229660644080, 1174599406053, 5792185593840, 27697451048182, 129039115827548, 587993778478925, 2629056738236432, 11566062999511464
Offset: 1

Views

Author

R. H. Hardin, Dec 09 2014

Keywords

Comments

Row 2 of A251801

Examples

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

Formula

Empirical: a(n) = 40*a(n-1) -755*a(n-2) +8946*a(n-3) -74677*a(n-4) +467156*a(n-5) -2274363*a(n-6) +8833486*a(n-7) -27833039*a(n-8) +71958408*a(n-9) -153781873*a(n-10) +272810702*a(n-11) -402324879*a(n-12) +492639700*a(n-13) -498877265*a(n-14) +414825042*a(n-15) -280100140*a(n-16) +151065320*a(n-17) -63500432*a(n-18) +20037984*a(n-19) -4463424*a(n-20) +625536*a(n-21) -41472*a(n-22)

A251803 Number of (3+1)X(n+1) 0..3 arrays with no 2X2 subblock having x11-x00 less than x10-x01.

Original entry on oeis.org

19269, 724300, 17195593, 294088336, 3934266515, 43510308650, 413630526506, 3478117057808, 26433809155056, 184631083973492, 1200862969509714, 7350360178000790, 42705102555064986, 237181196199079904
Offset: 1

Views

Author

R. H. Hardin, Dec 09 2014

Keywords

Comments

Row 3 of A251801

Examples

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

Formula

Empirical: a(n) = 70*a(n-1) -2375*a(n-2) +52042*a(n-3) -827990*a(n-4) +10195132*a(n-5) -101124322*a(n-6) +830421108*a(n-7) -5758451859*a(n-8) +34223487178*a(n-9) -176332070653*a(n-10) +794779755110*a(n-11) -3156457476820*a(n-12) +11109873120920*a(n-13) -34818233254780*a(n-14) +97527763758712*a(n-15) -244892909297175*a(n-16) +552543768062970*a(n-17) -1122181309818449*a(n-18) +2053995521193590*a(n-19) -3390759101221990*a(n-20) +5049772850347484*a(n-21) -6783271969135666*a(n-22) +8213149434578420*a(n-23) -8953247189169461*a(n-24) +8772430272272310*a(n-25) -7708025280163467*a(n-26) +6055906423103258*a(n-27) -4238615566223888*a(n-28) +2630732733430288*a(n-29) -1439628171650384*a(n-30) +689679083321824*a(n-31) -286667447021696*a(n-32) +102211164419072*a(n-33) -30802911196416*a(n-34) +7693171914240*a(n-35) -1549479297024*a(n-36) +241805316096*a(n-37) -27432235008*a(n-38) +2012553216*a(n-39) -71663616*a(n-40)

A251804 Number of (4+1)X(n+1) 0..3 arrays with no 2X2 subblock having x11-x00 less than x10-x01.

Original entry on oeis.org

216912, 18577404, 873945739, 26787273856, 594938582014, 10280556043804, 145329837643171, 1743692215971208, 18257820090771490, 170475350875241504, 1443843489205389919, 11245777833263175252, 81459269805049215890
Offset: 1

Views

Author

R. H. Hardin, Dec 09 2014

Keywords

Comments

Row 4 of A251801

Examples

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

Formula

Empirical recurrence of order 52 (see link above)

A251805 Number of (5+1)X(n+1) 0..3 arrays with no 2X2 subblock having x11-x00 less than x10-x01.

Original entry on oeis.org

2430631, 474547100, 44356434596, 2446811684440, 90717637876583, 2466029519190492, 52256028323545001, 902865704126649438, 13158989979297456736, 166106632087042847162, 1854323843850427384132
Offset: 1

Views

Author

R. H. Hardin, Dec 09 2014

Keywords

Comments

Row 5 of A251801

Examples

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