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

A302630 Number of nX3 0..1 arrays with every element equal to 0, 1, 3 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

3, 9, 8, 19, 42, 82, 189, 469, 1029, 2372, 5661, 12788, 29440, 69193, 158299, 364581, 849888, 1955567, 4508226, 10463966, 24138613, 55695301, 128985441, 297870624, 687700145, 1590857932, 3675434388, 8488858425, 19626303139, 45350971169
Offset: 1

Views

Author

R. H. Hardin, Apr 10 2018

Keywords

Comments

Column 3 of A302635.

Examples

			Some solutions for n=5
..0..1..0. .0..1..0. .0..1..0. .0..1..0. .0..1..0. .0..1..0. .0..0..1
..0..1..1. .0..1..0. .0..1..0. .0..0..0. .0..1..0. .0..1..1. .0..1..0
..0..1..0. .0..1..0. .0..1..0. .0..1..0. .0..1..0. .0..1..0. .1..1..1
..0..1..0. .0..1..0. .0..1..0. .0..1..0. .0..1..1. .0..1..0. .1..1..0
..1..0..0. .0..0..1. .0..1..0. .1..0..0. .0..1..0. .0..0..1. .0..1..0
		

Crossrefs

Cf. A302635.

Formula

Empirical: a(n) = a(n-1) +9*a(n-3) -4*a(n-4) +2*a(n-5) -10*a(n-6) +4*a(n-7) +4*a(n-9) for n>13

A302631 Number of nX4 0..1 arrays with every element equal to 0, 1, 3 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

5, 17, 14, 33, 101, 248, 657, 1841, 4892, 13020, 35447, 95226, 255042, 688238, 1852413, 4976015, 13395869, 36053423, 96953152, 260865015, 701948030, 1888295155, 5080237927, 13668712238, 36773414080, 98934258153, 266178278368
Offset: 1

Views

Author

R. H. Hardin, Apr 10 2018

Keywords

Comments

Column 4 of A302635.

Examples

			Some solutions for n=5
..0..1..0..1. .0..1..0..1. .0..1..0..1. .0..1..0..1. .0..1..1..0
..0..1..0..0. .0..1..1..0. .0..1..1..0. .0..1..0..1. .1..0..1..0
..0..1..0..1. .1..0..1..0. .1..0..1..0. .1..0..0..1. .1..0..1..0
..0..1..0..1. .1..0..1..0. .1..0..1..0. .1..0..1..0. .1..0..1..0
..0..1..1..0. .1..0..0..1. .1..1..0..0. .1..0..1..0. .1..0..0..1
		

Crossrefs

Cf. A302635.

Formula

Empirical: a(n) = a(n-1) +2*a(n-2) +9*a(n-3) -12*a(n-5) -13*a(n-6) +2*a(n-7) +17*a(n-8) +13*a(n-9) -6*a(n-10) -16*a(n-11) -12*a(n-12) +6*a(n-13) +12*a(n-14) +5*a(n-15) -8*a(n-16) -10*a(n-17) -4*a(n-18) +3*a(n-19) +3*a(n-20) +a(n-21) for n>25

A302632 Number of nX5 0..1 arrays with every element equal to 0, 1, 3 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

8, 25, 25, 65, 257, 719, 2303, 7695, 24205, 77827, 251835, 806047, 2591353, 8340665, 26787773, 86104127, 276842555, 889744085, 2859889913, 9193087135, 29549125343, 94980382961, 305300890107, 981337384507, 3154346109841, 10139134067253
Offset: 1

Views

Author

R. H. Hardin, Apr 10 2018

Keywords

Comments

Column 5 of A302635.

Examples

			Some solutions for n=5
..0..1..0..0..1. .0..1..1..0..1. .0..1..1..0..0. .0..1..0..1..0
..1..1..0..1..0. .1..0..1..0..0. .0..1..0..1..0. .0..0..0..1..0
..0..1..0..1..0. .1..0..1..0..1. .1..1..1..1..1. .0..1..0..1..0
..1..0..1..1..0. .1..0..1..0..1. .0..1..1..1..0. .0..1..0..1..0
..1..0..0..0..0. .1..0..0..1..1. .0..1..0..1..0. .0..1..0..0..1
		

Crossrefs

Cf. A302635.

Formula

Empirical: a(n) = a(n-1) +a(n-2) +24*a(n-3) +2*a(n-4) +6*a(n-5) -175*a(n-6) -67*a(n-7) -79*a(n-8) +599*a(n-9) +219*a(n-10) +190*a(n-11) -1186*a(n-12) -174*a(n-13) -148*a(n-14) +1508*a(n-15) -244*a(n-16) +36*a(n-17) -1276*a(n-18) +616*a(n-19) +744*a(n-21) -640*a(n-22) +32*a(n-23) -272*a(n-24) +384*a(n-25) -64*a(n-26) +32*a(n-27) -128*a(n-28) +64*a(n-29) for n>32

A302633 Number of nX6 0..1 arrays with every element equal to 0, 1, 3 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

13, 65, 47, 149, 691, 2262, 8981, 35772, 135125, 522265, 2030558, 7817366, 30184397, 116738915, 450741840, 1740832183, 6725944705, 25979920451, 100351084472, 387650634193, 1497420252119, 5784201010250, 22343397443993, 86308461484188
Offset: 1

Views

Author

R. H. Hardin, Apr 10 2018

Keywords

Comments

Column 6 of A302635.

Examples

			Some solutions for n=5
..0..1..0..1..0..1. .0..1..0..1..0..1. .0..1..1..0..0..1. .0..1..0..1..0..1
..0..1..0..1..0..0. .0..1..0..1..0..0. .1..0..1..0..1..0. .0..0..0..1..0..1
..0..1..1..1..0..1. .0..1..0..1..0..1. .1..0..1..0..1..0. .0..1..0..1..0..0
..0..1..0..1..0..1. .0..1..0..1..1..1. .1..1..1..0..0..0. .0..1..0..1..0..1
..0..1..0..1..0..1. .0..1..0..1..0..1. .1..0..1..0..1..0. .0..0..1..1..0..1
		

Crossrefs

Cf. A302635.

Formula

Empirical: a(n) = 4*a(n-2) +39*a(n-3) +50*a(n-4) -2*a(n-5) -393*a(n-6) -694*a(n-7) -455*a(n-8) +1693*a(n-9) +3775*a(n-10) +3444*a(n-11) -2775*a(n-12) -9804*a(n-13) -11520*a(n-14) -2477*a(n-15) +11606*a(n-16) +20666*a(n-17) +16150*a(n-18) -984*a(n-19) -19093*a(n-20) -24794*a(n-21) -14731*a(n-22) +3238*a(n-23) +15647*a(n-24) +18561*a(n-25) +12040*a(n-26) +2792*a(n-27) -5734*a(n-28) -9936*a(n-29) -10264*a(n-30) -7542*a(n-31) -2505*a(n-32) +3231*a(n-33) +6835*a(n-34) +6669*a(n-35) +3407*a(n-36) -82*a(n-37) -2685*a(n-38) -3140*a(n-39) -2156*a(n-40) -311*a(n-41) +848*a(n-42) +1060*a(n-43) +623*a(n-44) +130*a(n-45) -148*a(n-46) -209*a(n-47) -116*a(n-48) -18*a(n-49) +34*a(n-50) +24*a(n-51) +6*a(n-52) -2*a(n-53) -a(n-54) for n>65.

A302634 Number of nX7 0..1 arrays with every element equal to 0, 1, 3 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

21, 185, 83, 304, 1734, 6460, 30216, 144266, 642553, 2942184, 13568813, 61798208, 282661567, 1295223226, 5921237836, 27085485076, 123955468089, 567032990681, 2594025218639, 11868355270058, 54296922715587, 248403802340878
Offset: 1

Views

Author

R. H. Hardin, Apr 10 2018

Keywords

Comments

Column 7 of A302635.

Examples

			Some solutions for n=5
..0..1..0..1..0..1..0. .0..1..1..0..0..1..0. .0..1..1..0..0..1..0
..0..0..0..1..0..0..0. .0..1..0..1..0..1..0. .0..1..0..1..0..1..0
..0..1..0..1..0..1..0. .0..1..0..1..0..1..0. .0..1..0..1..0..1..0
..0..1..0..1..1..1..0. .0..0..0..1..1..1..0. .0..1..0..1..0..1..0
..0..1..0..1..0..1..0. .0..1..0..1..0..1..0. .1..0..0..1..0..1..0
		

Crossrefs

Cf. A302635.

A302636 Number of 3Xn 0..1 arrays with every element equal to 0, 1, 3 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

4, 6, 8, 14, 25, 47, 83, 150, 269, 488, 876, 1581, 2845, 5133, 9242, 16661, 30012, 54094, 97457, 175631, 316451, 570258, 1027529, 1851592, 3336392, 6012049, 10833241, 19520945, 35175378, 63384029, 114213840, 205806518, 370850169, 668249367
Offset: 1

Views

Author

R. H. Hardin, Apr 10 2018

Keywords

Comments

Row 3 of A302635.

Examples

			Some solutions for n=5
..0..1..0..1..0. .0..1..0..1..0. .0..1..0..1..0. .0..1..0..1..0
..0..1..0..0..1. .0..1..0..1..0. .0..1..0..1..1. .1..0..0..1..0
..0..0..1..0..1. .0..0..1..1..0. .1..0..0..1..0. .1..0..1..0..0
		

Crossrefs

Cf. A302635.

Formula

Empirical: a(n) = a(n-1) +a(n-2) +2*a(n-4) -a(n-5) for n>7

A302637 Number of 4 X n 0..1 arrays with every element equal to 0, 1, 3 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

8, 10, 19, 33, 65, 149, 304, 643, 1343, 2880, 6038, 12805, 27015, 57283, 120917, 255898, 540904, 1144495, 2419416, 5117330, 10820901, 22886110, 48394996, 102347752, 216437366, 457724270, 967964774, 2047035882, 4328987213
Offset: 1

Views

Author

R. H. Hardin, Apr 10 2018

Keywords

Comments

Row 4 of A302635.

Examples

			Some solutions for n=5
..0..1..0..1..0. .0..1..0..0..1. .0..1..1..0..1. .0..0..1..1..0
..0..1..0..1..1. .0..1..0..1..0. .1..0..1..0..0. .0..1..0..1..0
..0..0..0..1..0. .0..1..0..1..0. .1..0..1..0..1. .0..1..0..1..0
..0..1..0..1..0. .1..0..0..1..0. .1..0..1..0..1. .0..1..1..0..0
		

Crossrefs

Cf. A302635.

Formula

Empirical: a(n) = a(n-1) +a(n-2) +2*a(n-3) +8*a(n-4) -6*a(n-5) -6*a(n-6) -13*a(n-7) -22*a(n-8) +7*a(n-9) +11*a(n-10) +28*a(n-11) +28*a(n-12) +2*a(n-13) -9*a(n-14) -27*a(n-15) -17*a(n-16) -2*a(n-17) +4*a(n-18) +10*a(n-19) +4*a(n-20) -2*a(n-21) -a(n-22) for n > 23.

A302638 Number of 5Xn 0..1 arrays with every element equal to 0, 1, 3 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

16, 21, 42, 101, 257, 691, 1734, 4502, 11524, 30121, 77399, 200317, 516438, 1338344, 3454506, 8931187, 23069491, 59659415, 154144020, 398416450, 1029570334, 2661273981, 6877566431, 17775332669, 45938756798, 118731629576, 306855446658
Offset: 1

Views

Author

R. H. Hardin, Apr 10 2018

Keywords

Comments

Row 5 of A302635.

Examples

			Some solutions for n=5
..0..1..0..1..0. .0..1..0..1..1. .0..1..1..0..1. .0..1..0..1..0
..0..1..1..1..0. .0..1..1..0..1. .1..0..1..0..1. .0..0..0..1..1
..1..1..1..1..1. .1..0..1..0..1. .1..0..1..0..1. .0..1..0..1..0
..0..1..0..1..0. .1..0..1..0..1. .1..0..0..0..1. .0..1..0..1..0
..0..0..1..1..0. .0..1..1..0..1. .1..0..1..0..1. .0..1..0..0..1
		

Crossrefs

Cf. A302635.

Formula

Empirical: a(n) = a(n-1) +2*a(n-2) +2*a(n-3) +32*a(n-4) -23*a(n-5) -47*a(n-6) -43*a(n-7) -427*a(n-8) +208*a(n-9) +448*a(n-10) +345*a(n-11) +3212*a(n-12) -1010*a(n-13) -2363*a(n-14) -1271*a(n-15) -15417*a(n-16) +2994*a(n-17) +7880*a(n-18) +1333*a(n-19) +50564*a(n-20) -5840*a(n-21) -17997*a(n-22) +7273*a(n-23) -118241*a(n-24) +8112*a(n-25) +30065*a(n-26) -37203*a(n-27) +202588*a(n-28) -9318*a(n-29) -39397*a(n-30) +89218*a(n-31) -258497*a(n-32) +10902*a(n-33) +43343*a(n-34) -137629*a(n-35) +247123*a(n-36) -13254*a(n-37) -41319*a(n-38) +148584*a(n-39) -175807*a(n-40) +13979*a(n-41) +33450*a(n-42) -115878*a(n-43) +90721*a(n-44) -11249*a(n-45) -22157*a(n-46) +65549*a(n-47) -32142*a(n-48) +6528*a(n-49) +11644*a(n-50) -26262*a(n-51) +7028*a(n-52) -2590*a(n-53) -4592*a(n-54) +6998*a(n-55) -752*a(n-56) +632*a(n-57) +1184*a(n-58) -1088*a(n-59) +16*a(n-60) -72*a(n-61) -144*a(n-62) +72*a(n-63) for n>64

A302639 Number of 6Xn 0..1 arrays with every element equal to 0, 1, 3 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

32, 42, 82, 248, 719, 2262, 6460, 19799, 59002, 179668, 535412, 1618765, 4863776, 14679083, 44118667, 132955659, 400197277, 1205668487, 3629343498, 10930567358, 32912798461, 99120195646, 298461584492, 898783501386, 2706487328339
Offset: 1

Views

Author

R. H. Hardin, Apr 10 2018

Keywords

Comments

Row 6 of A302635.

Examples

			Some solutions for n=5
..0..1..0..0..1. .0..1..1..0..1. .0..1..0..1..0. .0..1..0..0..1
..0..1..0..1..0. .1..0..1..0..1. .1..1..0..0..0. .1..1..0..1..0
..0..1..0..1..0. .1..0..1..0..0. .0..1..0..1..0. .0..1..0..1..0
..0..1..0..1..0. .1..0..1..0..1. .0..1..0..1..0. .0..1..0..1..0
..0..1..0..1..0. .1..0..1..1..1. .0..1..1..1..0. .0..1..0..1..0
..0..0..1..1..0. .1..0..1..0..1. .0..1..0..1..0. .0..1..0..0..1
		

Crossrefs

Cf. A302635.

Formula

Empirical recurrence of order 81 (see link above)

A302640 Number of 7Xn 0..1 arrays with every element equal to 0, 1, 3 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

64, 86, 189, 657, 2303, 8981, 30216, 112431, 408512, 1512824, 5441957, 20021696, 73157743, 268090840, 977883198, 3582780118, 13103336584, 47949599697, 175342870194, 641714970276, 2347546538523, 8589020632731, 31421666502319
Offset: 1

Views

Author

R. H. Hardin, Apr 10 2018

Keywords

Comments

Row 7 of A302635.

Examples

			Some solutions for n=5
..0..1..1..0..1. .0..1..0..1..0. .0..0..1..0..1. .0..1..1..0..1
..1..0..1..0..0. .0..0..0..1..1. .0..1..0..0..1. .1..0..1..0..1
..1..0..1..0..1. .0..1..0..1..0. .0..1..0..1..0. .1..0..1..0..1
..0..0..1..0..1. .0..1..0..1..0. .1..1..0..1..0. .0..0..1..0..1
..0..0..0..0..1. .1..1..0..0..0. .0..1..0..1..0. .1..0..1..0..1
..1..0..1..0..1. .0..1..0..1..0. .0..1..0..1..0. .1..1..1..0..0
..0..1..1..0..1. .0..1..0..1..0. .0..0..1..1..0. .1..0..1..0..1
		

Crossrefs

Cf. A302635.
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