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 1-6 of 6 results.

A301536 Number of n X 3 0..1 arrays with every element equal to 0, 1 or 3 horizontally or vertically adjacent elements, with upper left element zero.

Original entry on oeis.org

3, 6, 9, 26, 61, 154, 374, 941, 2357, 5963, 15074, 38168, 96641, 244836, 620311, 1571854, 3983147, 10093850, 25579490, 64823479, 164276135, 416311227, 1055023990, 2673664936, 6775663297, 17171047596, 43515284891, 110277499816
Offset: 1

Views

Author

R. H. Hardin, Mar 23 2018

Keywords

Comments

Column 3 of A301541.

Examples

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

Crossrefs

Cf. A301541.

Formula

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

A301537 Number of nX4 0..1 arrays with every element equal to 0, 1 or 3 horizontally or vertically adjacent elements, with upper left element zero.

Original entry on oeis.org

5, 10, 26, 79, 212, 603, 1841, 5663, 17379, 53565, 166423, 518704, 1616890, 5041039, 15729206, 49104949, 153322792, 478742546, 1494954997, 4668557664, 14579783689, 45532767521, 142200230227, 444098944427, 1386951488437, 4331554392329
Offset: 1

Views

Author

R. H. Hardin, Mar 23 2018

Keywords

Comments

Column 4 of A301541.

Examples

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

Crossrefs

Cf. A301541.

Formula

Empirical: a(n) = 3*a(n-1) +2*a(n-2) -a(n-3) +4*a(n-4) -34*a(n-5) -75*a(n-6) -14*a(n-7) +46*a(n-8) +323*a(n-9) +751*a(n-10) +478*a(n-11) -191*a(n-12) -1729*a(n-13) -4244*a(n-14) -4352*a(n-15) -1713*a(n-16) +4203*a(n-17) +13644*a(n-18) +18309*a(n-19) +13580*a(n-20) -167*a(n-21) -21556*a(n-22) -37473*a(n-23) -38916*a(n-24) -23118*a(n-25) +7056*a(n-26) +36004*a(n-27) +52920*a(n-28) +52093*a(n-29) +29895*a(n-30) -29895*a(n-32) -52093*a(n-33) -52920*a(n-34) -36004*a(n-35) -7056*a(n-36) +23118*a(n-37) +38916*a(n-38) +37473*a(n-39) +21556*a(n-40) +167*a(n-41) -13580*a(n-42) -18309*a(n-43) -13644*a(n-44) -4203*a(n-45) +1713*a(n-46) +4352*a(n-47) +4244*a(n-48) +1729*a(n-49) +191*a(n-50) -478*a(n-51) -751*a(n-52) -323*a(n-53) -46*a(n-54) +14*a(n-55) +75*a(n-56) +34*a(n-57) -4*a(n-58) +a(n-59) -2*a(n-60) -3*a(n-61) +a(n-62)

A301538 Number of n X 5 0..1 arrays with every element equal to 0, 1 or 3 horizontally or vertically adjacent elements, with upper left element zero.

Original entry on oeis.org

8, 21, 61, 212, 658, 2417, 9037, 33526, 125626, 477972, 1824213, 6971325, 26702279, 102479158, 393541270, 1511848952, 5810405859, 22336911663, 85879249631, 330208289450, 1269748921864, 4882763327280, 18776842367003, 72208138689837
Offset: 1

Views

Author

R. H. Hardin, Mar 23 2018

Keywords

Comments

Column 5 of A301541.

Examples

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

Crossrefs

Cf. A301541.

A301539 Number of nX6 0..1 arrays with every element equal to 0, 1 or 3 horizontally or vertically adjacent elements, with upper left element zero.

Original entry on oeis.org

13, 42, 154, 603, 2417, 10783, 47791, 215362, 990403, 4616134, 21616069, 101719485, 480319135, 2272163307, 10763099175, 51036985495, 242162709431, 1149466726275, 5457682636775, 25918135231397, 123098181426713, 584702778533156
Offset: 1

Views

Author

R. H. Hardin, Mar 23 2018

Keywords

Comments

Column 6 of A301541.

Examples

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

Crossrefs

Cf. A301541.

A301540 Number of nX7 0..1 arrays with every element equal to 0, 1 or 3 horizontally or vertically adjacent elements, with upper left element zero.

Original entry on oeis.org

21, 86, 374, 1841, 9037, 47791, 255406, 1432328, 8145489, 46701775, 269741883, 1568279203, 9153838956, 53577605791, 314145731065, 1844204380914, 10835966335712, 63710021424647, 374740321237045, 2204822119962792
Offset: 1

Views

Author

R. H. Hardin, Mar 23 2018

Keywords

Comments

Column 7 of A301541.

Examples

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

Crossrefs

Cf. A301541.

A301535 Number of n X n 0..1 arrays with every element equal to 0, 1 or 3 horizontally or vertically adjacent elements, with upper left element zero.

Original entry on oeis.org

1, 3, 9, 79, 658, 10783, 255406, 9891331, 588765472, 55421789236, 8214384910527
Offset: 1

Views

Author

R. H. Hardin, Mar 23 2018

Keywords

Comments

Diagonal of A301541.

Examples

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

Crossrefs

Cf. A301541.
Showing 1-6 of 6 results.