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 13 results. Next

A251059 Number of (n+1)X(2+1) 0..2 arrays with no 2X2 subblock having x11-x00 less than x10-x01.

Original entry on oeis.org

222, 2740, 31895, 379440, 4499219, 53420941, 634161915, 7528829372, 89381885986, 1061143804301, 12597914485712, 149562686271463, 1775611051165233, 21080088759507993, 250263221101743326, 2971129803512557016
Offset: 1

Views

Author

R. H. Hardin, Nov 29 2014

Keywords

Comments

Column 2 of A251065

Examples

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

Formula

Empirical: a(n) = 14*a(n-1) -12*a(n-2) -184*a(n-3) +281*a(n-4) +477*a(n-5) -863*a(n-6) -69*a(n-7) +517*a(n-8) -106*a(n-9) -80*a(n-10) +24*a(n-11)

A251060 Number of (n+1)X(3+1) 0..2 arrays with no 2X2 subblock having x11-x00 less than x10-x01.

Original entry on oeis.org

867, 17129, 320950, 6182747, 119032248, 2295692500, 44280784440, 854262466837, 16480691222664, 317958213164772, 6134299936443854, 118348278776443364, 2283277183839898530, 44051001079322901638, 849870585415520935170
Offset: 1

Views

Author

R. H. Hardin, Nov 29 2014

Keywords

Comments

Column 3 of A251065

Examples

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

Formula

Empirical: a(n) = 20*a(n-1) +149*a(n-2) -3483*a(n-3) -1646*a(n-4) +181002*a(n-5) -200603*a(n-6) -4389443*a(n-7) +7563091*a(n-8) +57780280*a(n-9) -117969316*a(n-10) -443230440*a(n-11) +1006122140*a(n-12) +2058747657*a(n-13) -5162805928*a(n-14) -5921804997*a(n-15) +16838704214*a(n-16) +10500869967*a(n-17) -36121221195*a(n-18) -10740080874*a(n-19) +51975978543*a(n-20) +4392901894*a(n-21) -50615684360*a(n-22) +2927992450*a(n-23) +33382009991*a(n-24) -5129616183*a(n-25) -14828202384*a(n-26) +3221326394*a(n-27) +4390111165*a(n-28) -1132749541*a(n-29) -851993343*a(n-30) +240896502*a(n-31) +105264572*a(n-32) -31183216*a(n-33) -7839280*a(n-34) +2367008*a(n-35) +314880*a(n-36) -95232*a(n-37) -5120*a(n-38) +1536*a(n-39)

A251061 Number of (n+1)X(4+1) 0..2 arrays with no 2X2 subblock having x11-x00 less than x10-x01.

Original entry on oeis.org

3123, 89429, 2482824, 71431719, 2062530658, 59730054958, 1731036678270, 50188065312931, 1455292342943790, 42201961348177580, 1223840515308222344, 35491430464043617892, 1029257212053833200296, 29848718048671125722468
Offset: 1

Views

Author

R. H. Hardin, Nov 29 2014

Keywords

Comments

Column 4 of A251065

Examples

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

A251062 Number of (n+1)X(5+1) 0..2 arrays with no 2X2 subblock having x11-x00 less than x10-x01.

Original entry on oeis.org

10660, 410718, 15857764, 641508138, 26192388204, 1074828860950, 44184817939580, 1818009134485384, 74830315374059594, 3080655589305779558, 126836534137760888551, 5222341102062849278834, 215027736716667134649183
Offset: 1

Views

Author

R. H. Hardin, Nov 29 2014

Keywords

Comments

Column 5 of A251065

Examples

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

A251063 Number of (n+1)X(6+1) 0..2 arrays with no 2X2 subblock having x11-x00 less than x10-x01.

Original entry on oeis.org

35064, 1716324, 87634164, 4755605792, 262314968432, 14586457826568, 813777827212550, 45476380304254912, 2543317284348357558, 142296504920336870518, 7962969184682751770801, 445660261717899345423082
Offset: 1

Views

Author

R. H. Hardin, Nov 29 2014

Keywords

Comments

Column 6 of A251065

Examples

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

A251064 Number of (n+1) X (7+1) 0..2 arrays with no 2 X 2 subblock having x11-x00 less than x10-x01.

Original entry on oeis.org

112373, 6678657, 432850109, 30334449677, 2179252808041, 158459225199843, 11583623256480548, 849126733873227941, 62330147178086289818, 4578812877202662645937, 336496570208098704484079
Offset: 1

Views

Author

R. H. Hardin, Nov 29 2014

Keywords

Comments

Column 7 of A251065.

Examples

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

Crossrefs

Cf. A251065.

A251066 Number of (2+1)X(n+1) 0..2 arrays with no 2X2 subblock having x11-x00 less than x10-x01.

Original entry on oeis.org

336, 2740, 17129, 89429, 410718, 1716324, 6678657, 24601591, 86829924, 296316228, 984577369, 3202676417, 10242533906, 32315864964, 100861744449, 312101151267, 959163561400, 2931830099988, 8923446044937, 27069106904461, 81899632621478
Offset: 1

Views

Author

R. H. Hardin, Nov 29 2014

Keywords

Comments

Row 2 of A251065

Examples

			Some solutions for n=4
..2..2..2..1..2....0..0..0..0..0....1..2..2..1..2....0..0..1..1..1
..0..0..0..1..2....0..0..0..2..2....0..0..1..2..1....1..2..1..2..2
..0..1..2..1..0....2..2..2..1..1....2..2..1..0..2....1..0..2..1..2
		

Formula

Empirical: a(n) = 18*a(n-1) -146*a(n-2) +706*a(n-3) -2268*a(n-4) +5102*a(n-5) -8246*a(n-6) +9654*a(n-7) -8131*a(n-8) +4808*a(n-9) -1896*a(n-10) +448*a(n-11) -48*a(n-12)

A251067 Number of (3+1)X(n+1) 0..2 arrays with no 2X2 subblock having x11-x00 less than x10-x01.

Original entry on oeis.org

2167, 31895, 320950, 2482824, 15857764, 87634164, 432850109, 1956154249, 8230778879, 32676321575, 123677283286, 449978960436, 1584259322792, 5426858063472, 18167839282369, 59663626761417, 192807960435551
Offset: 1

Views

Author

R. H. Hardin, Nov 29 2014

Keywords

Comments

Row 3 of A251065

Examples

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

Formula

Empirical: a(n) = 30*a(n-1) -425*a(n-2) +3782*a(n-3) -23721*a(n-4) +111526*a(n-5) -408077*a(n-6) +1190790*a(n-7) -2816743*a(n-8) +5459714*a(n-9) -8729643*a(n-10) +11551618*a(n-11) -12652835*a(n-12) +11438610*a(n-13) -8481295*a(n-14) +5104082*a(n-15) -2453580*a(n-16) +919720*a(n-17) -259024*a(n-18) +51552*a(n-19) -6464*a(n-20) +384*a(n-21)

A251068 Number of (4+1)X(n+1) 0..2 arrays with no 2X2 subblock having x11-x00 less than x10-x01.

Original entry on oeis.org

14180, 379440, 6182747, 71431719, 641508138, 4755605792, 30334449677, 171552528763, 879593013286, 4159202993302, 18381824623755, 76744270826567, 305302958082338, 1165526725330804, 4295151207693497, 15354987635816371
Offset: 1

Views

Author

R. H. Hardin, Nov 29 2014

Keywords

Comments

Row 4 of A251065

Examples

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

Formula

Empirical: a(n) = 38*a(n-1) -691*a(n-2) +8006*a(n-3) -66388*a(n-4) +419576*a(n-5) -2101468*a(n-6) +8562488*a(n-7) -28910110*a(n-8) +81971700*a(n-9) -197093994*a(n-10) +404708052*a(n-11) -713198484*a(n-12) +1082053944*a(n-13) -1415611692*a(n-14) +1597131096*a(n-15) -1551815913*a(n-16) +1294677654*a(n-17) -923106107*a(n-18) +558641686*a(n-19) -284224784*a(n-20) +119985952*a(n-21) -41268128*a(n-22) +11267392*a(n-23) -2349056*a(n-24) +351232*a(n-25) -33536*a(n-26) +1536*a(n-27)

A251069 Number of (5+1)X(n+1) 0..2 arrays with no 2X2 subblock having x11-x00 less than x10-x01.

Original entry on oeis.org

92429, 4499219, 119032248, 2062530658, 26192388204, 262314968432, 2179252808041, 15575644526039, 98405520674803, 561105111152933, 2934787743118728, 14264091868486046, 65103854823688134, 281456809033502378
Offset: 1

Views

Author

R. H. Hardin, Nov 29 2014

Keywords

Comments

Row 5 of A251065

Examples

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

Formula

Empirical: a(n) = 46*a(n-1) -1021*a(n-2) +14566*a(n-3) -150115*a(n-4) +1190818*a(n-5) -7565523*a(n-6) +39546498*a(n-7) -173394318*a(n-8) +646904260*a(n-9) -2076097186*a(n-10) +5779538716*a(n-11) -14047031686*a(n-12) +29955478756*a(n-13) -56258286310*a(n-14) +93298957284*a(n-15) -136868817069*a(n-16) +177768541494*a(n-17) -204435461489*a(n-18) +208007834270*a(n-19) -186949454951*a(n-20) +148041763226*a(n-21) -102919401431*a(n-22) +62512079546*a(n-23) -32963315700*a(n-24) +14966379960*a(n-25) -5788295520*a(n-26) +1880029760*a(n-27) -503070080*a(n-28) +107966720*a(n-29) -17863424*a(n-30) +2138624*a(n-31) -164864*a(n-32) +6144*a(n-33)
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