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 1-7 of 7 results.

A218175 Number of nX2 arrays of the minimum value of corresponding elements and their horizontal and vertical neighbors in a random 0..3 nX2 array.

Original entry on oeis.org

4, 28, 192, 956, 5494, 30888, 172038, 964828, 5400158, 30225794, 169223054, 947302656, 5303071898, 29687164126, 166191023656, 930351759572, 5208189255764, 29155886563482, 163217149535782, 913703559802622
Offset: 1

Views

Author

R. H. Hardin Oct 22 2012

Keywords

Comments

Column 2 of A218181

Examples

			Some solutions for n=3
..0..0....1..3....2..2....0..0....2..2....2..2....2..2....2..3....2..1....0..0
..0..0....1..1....2..2....1..0....0..3....0..0....3..0....0..1....0..0....0..0
..3..0....1..3....2..3....1..1....0..0....0..0....0..0....0..0....0..0....1..1
		

Formula

Empirical: a(n) = 4*a(n-1) +8*a(n-2) +13*a(n-3) -33*a(n-4) -36*a(n-5) -86*a(n-6) -145*a(n-7) -161*a(n-8) +132*a(n-9) +538*a(n-10) +364*a(n-11) -112*a(n-12) -32*a(n-13)

A218176 Number of nX3 arrays of the minimum value of corresponding elements and their horizontal and vertical neighbors in a random 0..3 nX3 array.

Original entry on oeis.org

16, 192, 2936, 33152, 434210, 5528352, 70125438, 894288072, 11389420426, 145014350614, 1847290177850, 23526538305672, 299648762413814, 3816489616159674, 48608803039977948, 619107558779191608
Offset: 1

Views

Author

R. H. Hardin Oct 22 2012

Keywords

Comments

Column 3 of A218181

Examples

			Some solutions for n=3
..1..1..2....1..0..0....2..0..0....0..0..2....1..0..0....3..2..3....2..0..0
..1..2..2....2..1..0....3..1..0....0..0..3....1..1..0....2..2..2....3..1..0
..2..2..3....2..3..2....1..1..1....0..0..3....2..2..3....2..2..3....1..0..0
		

Formula

Empirical: a(n) = 7*a(n-1) +80*a(n-2) +54*a(n-3) -1275*a(n-4) -6000*a(n-5) -2290*a(n-6) -103051*a(n-7) -171259*a(n-8) +945324*a(n-9) +2982746*a(n-10) +4295642*a(n-11) +1850105*a(n-12) +13258925*a(n-13) -7389901*a(n-14) -213606444*a(n-15) -414996720*a(n-16) -924304799*a(n-17) -1285019047*a(n-18) +2679660979*a(n-19) +4819236836*a(n-20) +1086234573*a(n-21) +13515724385*a(n-22) +42929115859*a(n-23) +37716850212*a(n-24) -40804691933*a(n-25) -35512741024*a(n-26) -67072482839*a(n-27) -89669059656*a(n-28) -243967830007*a(n-29) -115823795912*a(n-30) +164334455087*a(n-31) +248723776591*a(n-32) +309849390485*a(n-33) +519968808635*a(n-34) +728892294572*a(n-35) +425068098383*a(n-36) +208027653446*a(n-37) -45090784646*a(n-38) -176966217763*a(n-39) -598560319475*a(n-40) -689950971581*a(n-41) -626037278111*a(n-42) -575206219623*a(n-43) -444554045163*a(n-44) -204836568354*a(n-45) +61404294432*a(n-46) +134075058842*a(n-47) +121848602297*a(n-48) +124395306138*a(n-49) +98820174126*a(n-50) +49031427952*a(n-51) +19891524792*a(n-52) +6154597468*a(n-53) +2429216984*a(n-54) -9351804*a(n-55) +293751520*a(n-56) +63666648*a(n-57) +39785912*a(n-58) +16855392*a(n-59) +3480912*a(n-60) +916992*a(n-61) -3456*a(n-62)
a(n) ~ 1.2910516064511741858372293278146 * 12.736538459857441947822^n. - Vaclav Kotesovec, Oct 26 2012

A218177 Number of nX4 arrays of the minimum value of corresponding elements and their horizontal and vertical neighbors in a random 0..3 nX4 array.

Original entry on oeis.org

36, 956, 33152, 851332, 25006046, 710907184, 20223079322, 577891946796, 16478399529602, 470047800534878, 13411160016021278, 382570758334760884, 10914131505751644566, 311359004159871539534, 8882440163572303612864
Offset: 1

Views

Author

R. H. Hardin Oct 22 2012

Keywords

Comments

Column 4 of A218181

Examples

			Some solutions for n=3
..1..1..1..1....0..0..1..1....2..2..3..2....2..3..1..1....3..0..0..0
..1..3..1..1....0..0..1..3....0..3..0..2....1..1..2..1....2..2..0..3
..1..1..3..2....0..1..3..3....0..0..0..0....1..1..1..2....2..2..3..3
		

A218178 Number of nX5 arrays of the minimum value of corresponding elements and their horizontal and vertical neighbors in a random 0..3 nX5 array.

Original entry on oeis.org

94, 5494, 434210, 25006046, 1661620524, 106842964082, 6885852440176, 445345491313290, 28746813388211212, 1856652582082775172, 119924857962662075444, 7745130383927844076646, 500242581397299885168424
Offset: 1

Views

Author

R. H. Hardin Oct 22 2012

Keywords

Comments

Column 5 of A218181

Examples

			Some solutions for n=3
..0..0..3..1..0....1..1..3..1..3....0..0..0..2..3....0..0..0..0..2
..0..2..3..0..0....1..1..1..1..1....0..0..2..3..3....1..0..0..3..2
..0..0..3..1..0....1..1..3..1..3....0..0..1..2..3....1..1..1..1..3
		

A218174 Number of n X n arrays of the minimum value of corresponding elements and their horizontal and vertical neighbors in a random 0..3 n X n array.

Original entry on oeis.org

4, 28, 2936, 851332, 1661620524, 15513264742256
Offset: 1

Views

Author

R. H. Hardin Oct 22 2012

Keywords

Comments

Diagonal of A218181

Examples

			Some solutions for n=3
..0..0..1....3..1..2....2..2..3....3..3..3....0..0..2....3..0..0....0..0..2
..0..0..0....0..1..1....1..0..0....0..3..2....0..0..2....2..1..0....0..2..2
..3..0..2....0..0..1....0..0..0....0..0..2....0..2..3....2..0..0....1..1..2
		

A218179 Number of nX6 arrays of the minimum value of corresponding elements and their horizontal and vertical neighbors in a random 0..3 nX6 array.

Original entry on oeis.org

236, 30888, 5528352, 710907184, 106842964082, 15513264742256, 2257342895377582, 329603753445062420, 48040574405361984130, 7006147556058936415702
Offset: 1

Views

Author

R. H. Hardin Oct 22 2012

Keywords

Comments

Column 6 of A218181

Examples

			Some solutions for n=3
..0..0..1..2..1..1....0..0..0..2..0..0....0..0..2..0..0..0....0..0..0..3..0..1
..0..0..1..2..2..1....0..0..1..1..1..0....0..0..0..0..0..0....0..0..1..0..0..0
..0..1..1..1..1..1....0..1..1..2..0..0....0..1..0..0..0..0....0..0..3..3..0..2
		

A218180 Number of nX7 arrays of the minimum value of corresponding elements and their horizontal and vertical neighbors in a random 0..3 nX7 array.

Original entry on oeis.org

602, 172038, 70125438, 20223079322, 6885852440176, 2257342895377582
Offset: 1

Views

Author

R. H. Hardin Oct 22 2012

Keywords

Comments

Column 7 of A218181

Examples

			Some solutions for n=3
..0..0..0..0..0..0..2....0..0..0..1..1..3..1....0..0..0..0..0..3..3
..0..0..0..0..0..3..2....0..0..0..1..1..1..1....0..0..0..0..2..1..0
..0..0..0..0..3..2..2....0..0..0..3..1..1..1....0..0..0..0..0..0..0
		
Showing 1-7 of 7 results.