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

A303520 Number of nX3 0..1 arrays with every element equal to 0, 1, 3, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

3, 11, 18, 39, 95, 246, 687, 2023, 6126, 19571, 63599, 209618, 700539, 2356511, 7961506, 26985119, 91629471, 311488830, 1059693975, 3606749879, 12279357318, 41813315995, 142397488591, 484976347386, 1651802107971, 5626099528751
Offset: 1

Views

Author

R. H. Hardin, Apr 25 2018

Keywords

Comments

Column 3 of A303525.

Examples

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

Crossrefs

Cf. A303525.

Formula

Empirical: a(n) = 4*a(n-1) -3*a(n-2) +10*a(n-3) -22*a(n-4) +6*a(n-5) -31*a(n-6) +10*a(n-7) -3*a(n-8) -14*a(n-9) -8*a(n-10) -32*a(n-11) -16*a(n-12) for n>15

A303521 Number of nX4 0..1 arrays with every element equal to 0, 1, 3, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

5, 21, 37, 103, 340, 1115, 4112, 16640, 71025, 320957, 1510853, 7287031, 35723065, 176869202, 880763327, 4401181230, 22037652351, 110478062574, 554227859714, 2781487076749, 13962670138510, 70100301160570, 351970530142109
Offset: 1

Views

Author

R. H. Hardin, Apr 25 2018

Keywords

Comments

Column 4 of A303525.

Examples

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

Crossrefs

Cf. A303525.

Formula

Empirical: a(n) = 7*a(n-1) -9*a(n-2) +8*a(n-3) -68*a(n-4) +8*a(n-5) -6*a(n-6) +260*a(n-7) +444*a(n-8) +617*a(n-9) -488*a(n-10) -858*a(n-11) -2426*a(n-12) -1778*a(n-13) -2233*a(n-14) +1090*a(n-15) +2944*a(n-16) +5714*a(n-17) +4242*a(n-18) +1676*a(n-19) -5030*a(n-20) -6560*a(n-21) -3203*a(n-22) +5344*a(n-23) +11678*a(n-24) +10874*a(n-25) +8003*a(n-26) -6178*a(n-27) -11743*a(n-28) -18221*a(n-29) -11933*a(n-30) -7346*a(n-31) +3388*a(n-32) +8166*a(n-33) +9709*a(n-34) +6270*a(n-35) +2172*a(n-36) -1377*a(n-37) -2343*a(n-38) -1877*a(n-39) -576*a(n-40) +51*a(n-41) +210*a(n-42) +170*a(n-43) +22*a(n-44) -13*a(n-45) -31*a(n-46) -9*a(n-47) for n>49

A303522 Number of nX5 0..1 arrays with every element equal to 0, 1, 3, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

8, 31, 80, 359, 1758, 9225, 56046, 366415, 2519399, 17926787, 129675215, 946882296, 6952003074, 51182425206, 377395379937, 2785188408332, 20564328532736, 151875658775227, 1121831718798095, 8287122669326048, 61221054216532119
Offset: 1

Views

Author

R. H. Hardin, Apr 25 2018

Keywords

Comments

Column 5 of A303525.

Examples

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

Crossrefs

Cf. A303525.

A303523 Number of nX6 0..1 arrays with every element equal to 0, 1, 3, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

13, 113, 286, 1875, 13031, 102779, 965150, 9961980, 109395622, 1249312308, 14535068668, 170908188530, 2021484478581, 23981853993648, 284987683948763, 3389805878799915, 40340446531700113, 480206820275333547
Offset: 1

Views

Author

R. H. Hardin, Apr 25 2018

Keywords

Comments

Column 6 of A303525.

Examples

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

Crossrefs

Cf. A303525.

A303524 Number of n X 7 0..1 arrays with every element equal to 0, 1, 3, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

21, 363, 916, 8676, 87730, 1052163, 15768709, 260078546, 4544413190, 82599711087, 1526885636233, 28491618817054, 534696956123707, 10062547249007546, 189657515521907356, 3577798561319688546, 67524490517322243151
Offset: 1

Views

Author

R. H. Hardin, Apr 25 2018

Keywords

Comments

Column 7 of A303525.

Examples

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

Crossrefs

Cf. A303525.

A303526 Number of 3Xn 0..1 arrays with every element equal to 0, 1, 3, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

4, 6, 18, 37, 80, 286, 916, 2532, 7477, 24285, 76820, 235117, 731307, 2316410, 7294592, 22810317, 71569571, 225378484, 708826544, 2225946457, 6995090976, 21998860077, 69164809009, 217385283885, 683342646350, 2148402980261
Offset: 1

Views

Author

R. H. Hardin, Apr 25 2018

Keywords

Comments

Row 3 of A303525.

Examples

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

Crossrefs

Cf. A303525.

Formula

Empirical: a(n) = 2*a(n-1) +3*a(n-2) +a(n-3) +30*a(n-4) -53*a(n-5) -102*a(n-6) +11*a(n-7) -227*a(n-8) +351*a(n-9) +784*a(n-10) -242*a(n-11) +351*a(n-12) -361*a(n-13) -1069*a(n-14) +577*a(n-15) +8*a(n-16) +28*a(n-17) +22*a(n-18) -11*a(n-19) -a(n-20) for n>21

A303527 Number of 4Xn 0..1 arrays with every element equal to 0, 1, 3, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

8, 10, 39, 103, 359, 1875, 8676, 36072, 166784, 848681, 4105851, 19152575, 92409752, 457395652, 2221962919, 10661835678, 51739845297, 253006224877, 1229143772638, 5947176017011, 28886071524170, 140636912306075, 683180817411487
Offset: 1

Views

Author

R. H. Hardin, Apr 25 2018

Keywords

Comments

Row 4 of A303525.

Examples

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

Crossrefs

Cf. A303525.

Formula

Empirical: a(n) = 3*a(n-1) +9*a(n-2) -3*a(n-3) +227*a(n-4) -651*a(n-5) -2397*a(n-6) +2477*a(n-7) -10125*a(n-8) +32889*a(n-9) +140430*a(n-10) -139247*a(n-11) +147713*a(n-12) -696247*a(n-13) -3322631*a(n-14) +2870371*a(n-15) -589928*a(n-16) +7378532*a(n-17) +37036533*a(n-18) -28171654*a(n-19) -4215822*a(n-20) -41705374*a(n-21) -201340805*a(n-22) +134959574*a(n-23) +48213202*a(n-24) +117390757*a(n-25) +527791613*a(n-26) -296182026*a(n-27) -143995072*a(n-28) -140279497*a(n-29) -728134284*a(n-30) +310394548*a(n-31) +146571481*a(n-32) +55671622*a(n-33) +702549436*a(n-34) -287100410*a(n-35) -94828128*a(n-36) +214598536*a(n-37) -403974010*a(n-38) -39173927*a(n-39) +37241894*a(n-40) +22203820*a(n-41) +40387406*a(n-42) -42016893*a(n-43) +45319265*a(n-44) -9357240*a(n-45) -14553359*a(n-46) +15173448*a(n-47) -2991486*a(n-48) -1107750*a(n-49) +1176217*a(n-50) -526881*a(n-51) +173233*a(n-52) -21811*a(n-53) -19352*a(n-54) +9547*a(n-55) -1989*a(n-56) +87*a(n-57) +18*a(n-58) for n>60

A303528 Number of 5Xn 0..1 arrays with every element equal to 0, 1, 3, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

16, 21, 95, 340, 1758, 13031, 87730, 569770, 4036330, 30394943, 222697188, 1602691484, 11764661177, 87557106997, 645627405743, 4729643084580, 34840151966126, 257693611496166, 1900371011202758, 13983289362523029
Offset: 1

Views

Author

R. H. Hardin, Apr 25 2018

Keywords

Comments

Row 5 of A303525.

Examples

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

Crossrefs

Cf. A303525.

A303529 Number of 6Xn 0..1 arrays with every element equal to 0, 1, 3, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

32, 42, 246, 1115, 9225, 102779, 1052163, 10663440, 122173279, 1457887585, 16618141169, 186784834355, 2163723243263, 25303642248607, 291288603195002, 3336138374158889, 38555143474838580, 446911479366972044
Offset: 1

Views

Author

R. H. Hardin, Apr 25 2018

Keywords

Comments

Row 6 of A303525.

Examples

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

Crossrefs

Cf. A303525.

A303530 Number of 7Xn 0..1 arrays with every element equal to 0, 1, 3, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

64, 86, 687, 4112, 56046, 965150, 15768709, 258412452, 4730074082, 89182240009, 1607792486756, 28651954738510, 525363767853510, 9705710828046354, 176560700611952149, 3198325214799036047, 58453456076912623357
Offset: 1

Views

Author

R. H. Hardin, Apr 25 2018

Keywords

Comments

Row 7 of A303525.

Examples

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

Crossrefs

Cf. A303525.
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