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

A303035 Number of nX3 0..1 arrays with every element equal to 0, 1, 3, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

3, 11, 14, 35, 71, 186, 459, 1287, 3490, 9699, 27707, 79358, 229491, 669203, 1958414, 5753843, 16951391, 50026322, 147861435, 437469791, 1295219194, 3836957139, 11370949011, 33707274678, 99940712835, 296363420843, 878924723910
Offset: 1

Views

Author

R. H. Hardin, Apr 17 2018

Keywords

Comments

Column 3 of A303040.

Examples

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

Crossrefs

Cf. A303040.

Formula

Empirical: a(n) = 4*a(n-1) -5*a(n-2) +16*a(n-3) -36*a(n-4) +32*a(n-5) -63*a(n-6) +64*a(n-7) -51*a(n-8) +4*a(n-9) +60*a(n-10) +16*a(n-11) +112*a(n-12) +64*a(n-13) for n>16

A303036 Number of nX4 0..1 arrays with every element equal to 0, 1, 3, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

5, 21, 28, 74, 197, 544, 1686, 5252, 16336, 52895, 174633, 585706, 2005396, 6966921, 24490114, 86986183, 311425171, 1121853996, 4061084204, 14755768611, 53766216246, 196333300490, 718099046548, 2629697794146, 9638889966861
Offset: 1

Views

Author

R. H. Hardin, Apr 17 2018

Keywords

Comments

Column 4 of A303040.

Examples

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

Crossrefs

Cf. A303040.

Formula

Empirical: a(n) = 5*a(n-1) -4*a(n-2) +17*a(n-3) -73*a(n-4) -27*a(n-5) -86*a(n-6) +412*a(n-7) +715*a(n-8) +717*a(n-9) -678*a(n-10) -2990*a(n-11) -4820*a(n-12) -4520*a(n-13) -1759*a(n-14) +2115*a(n-15) +10728*a(n-16) +26758*a(n-17) +47806*a(n-18) +55437*a(n-19) +28104*a(n-20) -39265*a(n-21) -114473*a(n-22) -130982*a(n-23) -83874*a(n-24) -24037*a(n-25) -59472*a(n-26) -179450*a(n-27) -261480*a(n-28) -146144*a(n-29) +102190*a(n-30) +239624*a(n-31) +64037*a(n-32) -296364*a(n-33) -461631*a(n-34) -174575*a(n-35) +392211*a(n-36) +747124*a(n-37) +685309*a(n-38) +266070*a(n-39) -93667*a(n-40) -163661*a(n-41) -10697*a(n-42) +100455*a(n-43) +76977*a(n-44) -44571*a(n-45) -130982*a(n-46) -137118*a(n-47) -73015*a(n-48) -9401*a(n-49) +21851*a(n-50) +21527*a(n-51) -1519*a(n-52) -8400*a(n-53) -687*a(n-54) -302*a(n-55) +1732*a(n-56) +4267*a(n-57) +3151*a(n-58) +551*a(n-59) -1037*a(n-60) -1149*a(n-61) -351*a(n-62) +325*a(n-63) +201*a(n-64) -52*a(n-65) -62*a(n-66) +4*a(n-67) +13*a(n-68) -a(n-70)

A303037 Number of nX5 0..1 arrays with every element equal to 0, 1, 3, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

8, 31, 56, 234, 703, 2494, 9882, 38855, 158630, 674410, 2921913, 12955678, 58544796, 267600375, 1235405800, 5748447218, 26880477835, 126178539898, 594019756766, 2801839213779, 13234169550602, 62575594084426, 296088878641741
Offset: 1

Views

Author

R. H. Hardin, Apr 17 2018

Keywords

Comments

Column 5 of A303040.

Examples

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

Crossrefs

Cf. A303040.

A303038 Number of nX6 0..1 arrays with every element equal to 0, 1, 3, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

13, 113, 150, 869, 3069, 13597, 63254, 298328, 1487003, 7748342, 41876150, 234739185, 1358331357, 8044921674, 48567141833, 297402619344, 1839614527950, 11463650530293, 71813104193006, 451521024746927, 2846294049645254
Offset: 1

Views

Author

R. H. Hardin, Apr 17 2018

Keywords

Comments

Column 6 of A303040.

Examples

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

Crossrefs

Cf. A303040.

A303039 Number of nX7 0..1 arrays with every element equal to 0, 1, 3, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

21, 363, 360, 2926, 11079, 59654, 345668, 2060154, 13122422, 89037375, 632329265, 4677904112, 35799149696, 280072132889, 2226022479526, 17895152751103, 144903511517451, 1178993189869482, 9624601342853800, 78735791021587131
Offset: 1

Views

Author

R. H. Hardin, Apr 17 2018

Keywords

Comments

Column 7 of A303040.

Examples

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

Crossrefs

Cf. A303040.

A303041 Number of 3Xn 0..1 arrays with every element equal to 0, 1, 3, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

4, 6, 14, 28, 56, 150, 360, 828, 1906, 4628, 10972, 25850, 60948, 145152, 343870, 814072, 1927632, 4573086, 10836712, 25678860, 60851842, 144253956, 341881772, 810275098, 1920403380, 4551789280, 10788216718, 25569422984, 60602792000
Offset: 1

Views

Author

R. H. Hardin, Apr 17 2018

Keywords

Comments

Row 3 of A303040.

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..1
..1..1..0..0..0. .0..1..1..1..0. .0..1..0..1..0. .0..1..0..0..0
..0..1..0..1..0. .0..1..0..1..0. .0..1..1..1..0. .0..1..1..1..0
		

Crossrefs

Cf. A303040.

Formula

Empirical: a(n) = 2*a(n-1) +2*a(n-2) -2*a(n-3) +6*a(n-4) -16*a(n-5) -11*a(n-6) +14*a(n-7) -4*a(n-8) +16*a(n-9) +4*a(n-10) -8*a(n-11) for n>12

A303042 Number of 4Xn 0..1 arrays with every element equal to 0, 1, 3, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

8, 10, 35, 74, 234, 869, 2926, 8500, 27931, 96592, 325288, 1051261, 3506796, 11931140, 40248675, 134258666, 451774036, 1530339997, 5170509004, 17416735952, 58815737695, 199037081262, 673067713068, 2274228205231, 7690132113108
Offset: 1

Views

Author

R. H. Hardin, Apr 17 2018

Keywords

Comments

Row 4 of A303040.

Examples

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

Crossrefs

Cf. A303040.

Formula

Empirical: a(n) = 3*a(n-1) +4*a(n-2) -6*a(n-3) +73*a(n-4) -240*a(n-5) -341*a(n-6) +480*a(n-7) -2065*a(n-8) +7402*a(n-9) +10592*a(n-10) -13225*a(n-11) +34742*a(n-12) -123483*a(n-13) -182747*a(n-14) +195467*a(n-15) -385754*a(n-16) +1222527*a(n-17) +1964345*a(n-18) -1804329*a(n-19) +2869079*a(n-20) -7219556*a(n-21) -13753473*a(n-22) +10685789*a(n-23) -13899268*a(n-24) +23713166*a(n-25) +62811529*a(n-26) -38417170*a(n-27) +40787608*a(n-28) -30283629*a(n-29) -175703207*a(n-30) +73169804*a(n-31) -64635290*a(n-32) -46685202*a(n-33) +254565055*a(n-34) -64087923*a(n-35) +48130794*a(n-36) +186503318*a(n-37) -110678378*a(n-38) +80503265*a(n-39) +10154339*a(n-40) -180320138*a(n-41) -40411189*a(n-42) -123008803*a(n-43) -84599828*a(n-44) +51373230*a(n-45) +938426*a(n-46) +4023387*a(n-47) +14582167*a(n-48) -4415294*a(n-49) +1720928*a(n-50) -285856*a(n-51) +1699116*a(n-52) +701304*a(n-53) -579560*a(n-54) +490896*a(n-55) -345696*a(n-56) -44480*a(n-57) +34144*a(n-58) -47104*a(n-59) +18304*a(n-60) -2048*a(n-61) for n>62

A303043 Number of 5Xn 0..1 arrays with every element equal to 0, 1, 3, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

16, 21, 71, 197, 703, 3069, 11079, 39281, 147655, 574771, 2154055, 8024515, 30383341, 115990813, 439167167, 1658045069, 6291314637, 23940047265, 90892145957, 344679542151, 1309322301315, 4979238288779, 18921620186225
Offset: 1

Views

Author

R. H. Hardin, Apr 17 2018

Keywords

Comments

Row 5 of A303040.

Examples

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

Crossrefs

Cf. A303040.

A303044 Number of 6Xn 0..1 arrays with every element equal to 0, 1, 3, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

32, 42, 186, 544, 2494, 13597, 59654, 251705, 1186522, 5869222, 27381443, 126165687, 604239638, 2948606295, 14144665365, 67469024030, 326726182958, 1595597953024, 7746571268500, 37522290645262, 182886057727441
Offset: 1

Views

Author

R. H. Hardin, Apr 17 2018

Keywords

Comments

Row 6 of A303040.

Examples

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

Crossrefs

Cf. A303040.

A303045 Number of 7Xn 0..1 arrays with every element equal to 0, 1, 3, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

64, 86, 459, 1686, 9882, 63254, 345668, 1853428, 10924077, 67726475, 403669088, 2380303051, 14509938056, 90934286594, 564101640722, 3472561956163, 21698726671644, 137462825832230, 867471097889215, 5452385965874930
Offset: 1

Views

Author

R. H. Hardin, Apr 17 2018

Keywords

Comments

Row 7 of A303040.

Examples

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

Crossrefs

Cf. A303040.
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