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 10 results.

A207462 Number of n X 3 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 1 0 and 1 0 1 vertically.

Original entry on oeis.org

6, 36, 98, 358, 1152, 3910, 12994, 43596, 145678, 487502, 1630196, 5453054, 18238998, 61008244, 204063338, 682563198, 2283064944, 7636504950, 25542956650, 85437392020, 285775310062, 955875582398, 3197260259292, 10694355621414
Offset: 1

Views

Author

R. H. Hardin, Feb 18 2012

Keywords

Comments

Column 3 of A207467.

Examples

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

Crossrefs

Cf. A207467.

Formula

Empirical: a(n) = 3*a(n-1) +a(n-2) -4*a(n-3) +11*a(n-4) +15*a(n-5) +4*a(n-6) -23*a(n-7) -17*a(n-8) +4*a(n-9) -7*a(n-10) +a(n-11) +a(n-12).

A207463 Number of n X 4 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 1 0 and 1 0 1 vertically.

Original entry on oeis.org

9, 81, 271, 1307, 5369, 23645, 101233, 439063, 1893511, 8183735, 35331965, 152610763, 659074589, 2846603441, 12294305751, 53098868971, 229330454403, 990464516749, 4277755155395, 18475391521815, 79794234969705
Offset: 1

Views

Author

R. H. Hardin Feb 18 2012

Keywords

Comments

Column 4 of A207467.

Examples

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

Crossrefs

Cf. A207467.

Formula

Empirical: a(n) = 9*a(n-1) -36*a(n-2) +84*a(n-3) -78*a(n-4) +26*a(n-5) +73*a(n-6) -265*a(n-7) +2209*a(n-8) -5829*a(n-9) +3375*a(n-10) +251*a(n-11) -117*a(n-12) -16643*a(n-13) -36823*a(n-14) +143237*a(n-15) +54901*a(n-16) -60997*a(n-17) -150479*a(n-18) +297239*a(n-19) +258172*a(n-20) -1573218*a(n-21) -2093803*a(n-22) +381335*a(n-23) +5018995*a(n-24) +4849153*a(n-25) -411771*a(n-26) -5472175*a(n-27) -5799032*a(n-28) -1965470*a(n-29) +1329443*a(n-30) +3307749*a(n-31) +2930682*a(n-32) +1635174*a(n-33) -292785*a(n-34) -1200175*a(n-35) -1111888*a(n-36) -432020*a(n-37) +60503*a(n-38) +216919*a(n-39) +166949*a(n-40) +69937*a(n-41) +10171*a(n-42) -12109*a(n-43) -9539*a(n-44) -3713*a(n-45) -286*a(n-46) +286*a(n-47) +144*a(n-48) +24*a(n-49).

A207461 Number of n X n 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 1 0 and 1 0 1 vertically.

Original entry on oeis.org

2, 16, 98, 1307, 21517, 491948, 16675001, 760840082, 48694010408, 4485988205726, 562936265068141, 102307352557957161, 26014225086453944774, 9391676528481972080755, 4844995109176631213739332
Offset: 1

Views

Author

R. H. Hardin Feb 18 2012

Keywords

Comments

Diagonal of A207467

Examples

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

A207464 Number of nX5 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 1 0 and 1 0 1 vertically.

Original entry on oeis.org

13, 169, 677, 4219, 21517, 119965, 644401, 3523073, 19109897, 103977527, 564853957, 3070715725, 16689263845, 90719255481, 493099242743, 2680257849413, 14568413911287, 79186365292369, 430415795271435, 2339519840411823
Offset: 1

Views

Author

R. H. Hardin Feb 18 2012

Keywords

Comments

Column 5 of A207467

Examples

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

Formula

Empirical: a(n) = 13*a(n-1) -78*a(n-2) +286*a(n-3) -607*a(n-4) +907*a(n-5) -804*a(n-6) -1406*a(n-7) +22274*a(n-8) -91656*a(n-9) +163193*a(n-10) -212113*a(n-11) +320060*a(n-12) -778036*a(n-13) -1598612*a(n-14) +10158616*a(n-15) -7442197*a(n-16) +8262037*a(n-17) -35046355*a(n-18) +84631811*a(n-19) +57591313*a(n-20) -620530665*a(n-21) -395430564*a(n-22) +288442878*a(n-23) +3224126013*a(n-24) -339160417*a(n-25) -2104367123*a(n-26) +12504688895*a(n-27) +18869908094*a(n-28) -20951530858*a(n-29) -126011844823*a(n-30) -98537778839*a(n-31) +85188886583*a(n-32) +226345296671*a(n-33) +191368604358*a(n-34) +171946587142*a(n-35) +467036355229*a(n-36) +232817488049*a(n-37) -680937346633*a(n-38) -1623608170295*a(n-39) -1580583515829*a(n-40) -1005941437745*a(n-41) -851888719270*a(n-42) +406138668328*a(n-43) +2703883208945*a(n-44) +5093276369985*a(n-45) +5160240677567*a(n-46) +3671411251005*a(n-47) +1361394791300*a(n-48) -2538142998556*a(n-49) -6730208387191*a(n-50) -9360409078933*a(n-51) -7973004499360*a(n-52) -4486416501488*a(n-53) -95778574401*a(n-54) +3775832585249*a(n-55) +6065493286542*a(n-56) +5797337913670*a(n-57) +3524764932207*a(n-58) +1124724885697*a(n-59) -425936532711*a(n-60) -990886820325*a(n-61) -844048565683*a(n-62) -327860863057*a(n-63) +104668098151*a(n-64) +198545932697*a(n-65) +85010987027*a(n-66) -33989579069*a(n-67) -94575076061*a(n-68) -101966944485*a(n-69) -69335177272*a(n-70) -21014226524*a(n-71) +9755797268*a(n-72) +15345494108*a(n-73) +10809975366*a(n-74) +6246393678*a(n-75) +3221088581*a(n-76) +854363159*a(n-77) -467664396*a(n-78) -656475788*a(n-79) -391981951*a(n-80) -130739059*a(n-81) -9117647*a(n-82) +25752067*a(n-83) +22560296*a(n-84) +9835096*a(n-85) +1892202*a(n-86) -569638*a(n-87) -437150*a(n-88) -115616*a(n-89) -7872*a(n-90) +1536*a(n-91)

A207465 Number of nX6 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 1 0 and 1 0 1 vertically.

Original entry on oeis.org

18, 324, 1504, 11760, 71928, 491948, 3205650, 21396734, 141284580, 937096086, 6200491878, 41068721206, 271907375738, 1800712574474, 11924220367590, 78964416331158, 522900715972816, 3462653747527630, 22929637855256258
Offset: 1

Views

Author

R. H. Hardin Feb 18 2012

Keywords

Comments

Column 6 of A207467

Examples

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

A207466 Number of nX7 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 1 0 and 1 0 1 vertically.

Original entry on oeis.org

25, 625, 3399, 33393, 247631, 2090927, 16675001, 136803627, 1107817969, 9020755725, 73241249411, 595437782873, 4838237303149, 39325402627329, 319598032561739, 2597506529364501, 21110282812302019, 171568068317114121
Offset: 1

Views

Author

R. H. Hardin Feb 18 2012

Keywords

Comments

Column 7 of A207467

Examples

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

A207468 Number of 4Xn 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 1 0 and 1 0 1 vertically.

Original entry on oeis.org

10, 100, 358, 1307, 4219, 11760, 33393, 88198, 229458, 590832, 1486909, 3739145, 9312304, 23088739, 57148946, 140903738, 347166896, 854103343, 2099195971, 5157634036, 12663610465, 31086972482, 76294760274, 187208257122
Offset: 1

Views

Author

R. H. Hardin Feb 18 2012

Keywords

Comments

Row 4 of A207467

Examples

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

Formula

Empirical: a(n) = 2*a(n-1) +6*a(n-2) -2*a(n-3) -34*a(n-4) -4*a(n-5) +52*a(n-6) +62*a(n-7) -38*a(n-8) -7*a(n-9) -98*a(n-10) -124*a(n-11) -15*a(n-12) +265*a(n-13) +141*a(n-14) +30*a(n-15) -51*a(n-16) -198*a(n-17) -224*a(n-18) -27*a(n-19) +173*a(n-20) +99*a(n-21) +110*a(n-22) -a(n-23) -38*a(n-24) -84*a(n-25) -9*a(n-26) -17*a(n-27) +12*a(n-28) +8*a(n-29) +13*a(n-30) +2*a(n-32) -a(n-33) -a(n-34) -a(n-35)

A207469 Number of 5Xn 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 1 0 and 1 0 1 vertically.

Original entry on oeis.org

16, 256, 1152, 5369, 21517, 71928, 247631, 778010, 2406006, 7360306, 21881127, 65146723, 191700402, 561478139, 1642808262, 4784514520, 13933101566, 40513685939, 117692339295, 341873087318, 992380089279, 2880509432926
Offset: 1

Views

Author

R. H. Hardin Feb 18 2012

Keywords

Comments

Row 5 of A207467

Examples

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

Formula

Empirical: a(n) = 2*a(n-1) +13*a(n-2) -3*a(n-3) -119*a(n-4) -67*a(n-5) +465*a(n-6) +751*a(n-7) -893*a(n-8) -2195*a(n-9) -776*a(n-10) +1556*a(n-11) +1750*a(n-12) +10625*a(n-13) +11105*a(n-14) -16866*a(n-15) -49663*a(n-16) -14223*a(n-17) +28912*a(n-18) +50941*a(n-19) +88982*a(n-20) +102021*a(n-21) -115197*a(n-22) -319790*a(n-23) -153524*a(n-24) +112783*a(n-25) +230771*a(n-26) +322133*a(n-27) +439354*a(n-28) -248822*a(n-29) -665730*a(n-30) -555401*a(n-31) +274112*a(n-32) +71842*a(n-33) +596696*a(n-34) +240063*a(n-35) +243358*a(n-36) -796174*a(n-37) +83610*a(n-38) -302470*a(n-39) +338776*a(n-40) -264701*a(n-41) +550019*a(n-42) -367949*a(n-43) +165908*a(n-44) -302524*a(n-45) +325900*a(n-46) -245668*a(n-47) +260252*a(n-48) -129807*a(n-49) +117245*a(n-50) -184522*a(n-51) +90386*a(n-52) -85685*a(n-53) +60495*a(n-54) -26715*a(n-55) +52711*a(n-56) -25388*a(n-57) +14189*a(n-58) -13400*a(n-59) +4235*a(n-60) -7679*a(n-61) +4005*a(n-62) -1220*a(n-63) +1207*a(n-64) -319*a(n-65) +632*a(n-66) -264*a(n-67) +8*a(n-68) -46*a(n-69) -4*a(n-70) -25*a(n-71) +11*a(n-72) +7*a(n-73) -a(n-75)

A207470 Number of 6Xn 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 1 0 and 1 0 1 vertically.

Original entry on oeis.org

26, 676, 3910, 23645, 119965, 491948, 2090927, 7990970, 29983194, 111123886, 398530787, 1431372629, 5073097036, 17882557521, 62951565198, 220461353120, 771854520770, 2697705853283, 9418337941471, 32876550226248, 114672698592869
Offset: 1

Views

Author

R. H. Hardin Feb 18 2012

Keywords

Comments

Row 6 of A207467

Examples

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

A207471 Number of 7 X n 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 1 0 and 1 0 1 vertically.

Original entry on oeis.org

42, 1764, 12994, 101233, 644401, 3205650, 16675001, 76629370, 345252578, 1534975920, 6569471819, 28198798691, 119211939368, 501052508853, 2103730122314, 8781162264514, 36654035342450, 152721010610871
Offset: 1

Views

Author

R. H. Hardin, Feb 18 2012

Keywords

Comments

Row 7 of A207467.

Examples

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

Crossrefs

Cf. A207467.
Showing 1-10 of 10 results.