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 1-9 of 9 results.

A208159 Number of n X n 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 1 and 0 1 0 vertically.

Original entry on oeis.org

2, 16, 102, 981, 14446, 297702, 9072707, 424153857, 29316311612, 3025550427476, 473181884230845, 111694857841157921, 39694965205591894619, 21331992417577197285058, 17352141355803100139646251
Offset: 1

Views

Author

R. H. Hardin Feb 24 2012

Keywords

Comments

Diagonal of A208164

Examples

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

A208160 Number of nX4 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 1 and 0 1 0 vertically.

Original entry on oeis.org

9, 81, 281, 981, 3893, 13825, 46611, 159545, 538479, 1783379, 5887303, 19371713, 63378811, 206749703, 673357733, 2188957835, 7106004543, 23048741587, 74706706363, 242002483927, 783622093421, 2536664872659, 8209475506107
Offset: 1

Views

Author

R. H. Hardin Feb 24 2012

Keywords

Comments

Column 4 of A208164

Examples

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

Formula

Empirical: a(n) = 5*a(n-1) -7*a(n-2) +26*a(n-3) -87*a(n-4) +51*a(n-5) -163*a(n-6) +536*a(n-7) +125*a(n-8) +462*a(n-9) -1927*a(n-10) -1705*a(n-11) -1375*a(n-12) +4932*a(n-13) +5862*a(n-14) +3665*a(n-15) -7873*a(n-16) -11151*a(n-17) -6258*a(n-18) +7798*a(n-19) +11789*a(n-20) +6835*a(n-21) -4479*a(n-22) -7296*a(n-23) -4064*a(n-24) +1214*a(n-25) +2388*a(n-26) +1296*a(n-27) -138*a(n-28) -312*a(n-29) -136*a(n-30) -12*a(n-31) +8*a(n-32) -8*a(n-33)

A208161 Number of nX5 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 1 and 0 1 0 vertically.

Original entry on oeis.org

13, 169, 699, 2920, 14446, 63031, 258952, 1088966, 4519672, 18366772, 74473407, 301250239, 1211354604, 4857059037, 19448559879, 77732455665, 310249629843, 1237296397590, 4930959447666, 19639536330789, 78190784495920
Offset: 1

Views

Author

R. H. Hardin Feb 24 2012

Keywords

Comments

Column 5 of A208164

Examples

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

Formula

Empirical: a(n) = 3*a(n-1) +55*a(n-3) -76*a(n-4) -116*a(n-5) -1244*a(n-6) +20*a(n-7) +2433*a(n-8) +16145*a(n-9) +14430*a(n-10) -13054*a(n-11) -127390*a(n-12) -184144*a(n-13) -41832*a(n-14) +600995*a(n-15) +1155989*a(n-16) +795403*a(n-17) -1628302*a(n-18) -4310878*a(n-19) -4192301*a(n-20) +2041886*a(n-21) +10103799*a(n-22) +12201828*a(n-23) +1213903*a(n-24) -15008727*a(n-25) -22149805*a(n-26) -8930474*a(n-27) +13538545*a(n-28) +26058738*a(n-29) +15415978*a(n-30) -6255866*a(n-31) -19998071*a(n-32) -14466661*a(n-33) +135702*a(n-34) +10021550*a(n-35) +8139334*a(n-36) +1168211*a(n-37) -3502825*a(n-38) -2851295*a(n-39) -326881*a(n-40) +1142010*a(n-41) +755296*a(n-42) -54940*a(n-43) -410599*a(n-44) -234916*a(n-45) +7373*a(n-46) +100275*a(n-47) +65371*a(n-48) +14560*a(n-49) -7778*a(n-50) -7888*a(n-51) -3096*a(n-52) -672*a(n-53)

A208162 Number of nX6 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 1 and 0 1 0 vertically.

Original entry on oeis.org

19, 361, 1799, 9039, 55576, 297702, 1493661, 7719181, 39409874, 196757286, 981006372, 4882898447, 24159299179, 119208331512, 587545141168, 2890792469683, 14204090068621, 69742665957409, 342219461884514
Offset: 1

Views

Author

R. H. Hardin Feb 24 2012

Keywords

Comments

Column 6 of A208164

Examples

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

A208163 Number of nX7 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 1 and 0 1 0 vertically.

Original entry on oeis.org

28, 784, 4706, 28681, 222487, 1474641, 9072707, 57903614, 364876262, 2242331814, 13768713631, 84428280229, 514353352557, 3124595619191, 18960957925634, 114849976141130, 694688437603860, 4198845405962339, 25361823055909609
Offset: 1

Views

Author

R. H. Hardin Feb 24 2012

Keywords

Comments

Column 7 of A208164

Examples

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

A208165 Number of 4Xn 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 1 and 0 1 0 vertically.

Original entry on oeis.org

9, 81, 287, 981, 2920, 9039, 28681, 89623, 278652, 872602, 2730176, 8525256, 26645271, 83307020, 260355204, 813693708, 2543369350, 7949447810, 24845860649, 77657127110, 242721701342, 758634528231, 2371142647768, 7411113488204
Offset: 1

Views

Author

R. H. Hardin Feb 24 2012

Keywords

Comments

Row 4 of A208164

Examples

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

Formula

Empirical: a(n) = a(n-1) +16*a(n-3) +13*a(n-4) +21*a(n-5) -24*a(n-6) -56*a(n-7) -65*a(n-8) +3*a(n-9) +93*a(n-10) +114*a(n-11) +a(n-12) -99*a(n-13) -107*a(n-14) +14*a(n-15) +86*a(n-16) +39*a(n-17) -34*a(n-18) -19*a(n-19) +6*a(n-21) for n>23

A208166 Number of 5Xn 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 1 and 0 1 0 vertically.

Original entry on oeis.org

14, 196, 882, 3893, 14446, 55576, 222487, 873641, 3397748, 13352522, 52449423, 205347969, 804974692, 3157691203, 12378682019, 48526203780, 190271720018, 746002420845, 2924723857799, 11466940285385, 44958442042385
Offset: 1

Views

Author

R. H. Hardin Feb 24 2012

Keywords

Comments

Row 5 of A208164

Examples

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

Formula

Empirical: a(n) = 35*a(n-3) +75*a(n-4) +153*a(n-5) -12*a(n-6) -491*a(n-7) -1291*a(n-8) -1213*a(n-9) +982*a(n-10) +5255*a(n-11) +6710*a(n-12) +298*a(n-13) -13367*a(n-14) -19234*a(n-15) -4320*a(n-16) +24239*a(n-17) +34110*a(n-18) +7289*a(n-19) -33569*a(n-20) -38074*a(n-21) -1658*a(n-22) +31010*a(n-23) +23461*a(n-24) -3165*a(n-25) -16769*a(n-26) -8111*a(n-27) +2648*a(n-28) +5511*a(n-29) +1251*a(n-30) -962*a(n-31) -1204*a(n-32) +101*a(n-33) +205*a(n-34) +215*a(n-35) -55*a(n-36) -26*a(n-37) -26*a(n-38) for n>40

A208167 Number of 6Xn 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 1 and 0 1 0 vertically.

Original entry on oeis.org

21, 441, 2491, 13825, 63031, 297702, 1474641, 7151473, 34264481, 166182659, 805621207, 3890807396, 18817025188, 91075073881, 440491413435, 2130434106639, 10306317416695, 49854704983253, 241148925982311, 1166495712482115
Offset: 1

Views

Author

R. H. Hardin Feb 24 2012

Keywords

Comments

Row 6 of A208164

Examples

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

Formula

Empirical: a(n) = a(n-1) -2*a(n-2) +68*a(n-3) +111*a(n-4) +393*a(n-5) -292*a(n-6) -1808*a(n-7) -6205*a(n-8) -5532*a(n-9) +9638*a(n-10) +53642*a(n-11) +75907*a(n-12) -7735*a(n-13) -306049*a(n-14) -523915*a(n-15) -131849*a(n-16) +1315396*a(n-17) +2368496*a(n-18) +644618*a(n-19) -4568483*a(n-20) -7417114*a(n-21) -903829*a(n-22) +12984601*a(n-23) +15191226*a(n-24) -3392425*a(n-25) -25200205*a(n-26) -17300095*a(n-27) +12005481*a(n-28) +29910075*a(n-29) +10672299*a(n-30) -15661203*a(n-31) -23604352*a(n-32) -2120324*a(n-33) +11633562*a(n-34) +13389658*a(n-35) -2926667*a(n-36) -5035127*a(n-37) -6200268*a(n-38) +4420788*a(n-39) +567939*a(n-40) +2831217*a(n-41) -3875590*a(n-42) +1117557*a(n-43) -1500290*a(n-44) +2569930*a(n-45) -1156343*a(n-46) +798177*a(n-47) -1293280*a(n-48) +628619*a(n-49) -321797*a(n-50) +468935*a(n-51) -208502*a(n-52) +85437*a(n-53) -116047*a(n-54) +42096*a(n-55) -13982*a(n-56) +18375*a(n-57) -4980*a(n-58) +1241*a(n-59) -1657*a(n-60) +344*a(n-61) +89*a(n-63) for n>65

A208168 Number of 7Xn 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 1 and 0 1 0 vertically.

Original entry on oeis.org

31, 961, 6759, 46611, 258952, 1493661, 9072707, 53874293, 315713411, 1874906825, 11126711003, 65771372274, 389369462027, 2306918088206, 13657520785513, 80855461760683, 478802042582831, 2835088280044468, 16786245481948186
Offset: 1

Views

Author

R. H. Hardin Feb 24 2012

Keywords

Comments

Row 7 of A208164

Examples

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