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.

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A222441 Number of nX5 0..3 arrays with entries increasing mod 4 by 0, 1 or 2 rightwards and downwards, starting with upper left zero.

Original entry on oeis.org

81, 7203, 642249, 57289767, 5110723191, 455924913093, 40672916404629, 3628419487925547, 323690312271131451, 28876324830999722133, 2576049100980154511889, 229808641254065144560647
Offset: 1

Views

Author

R. H. Hardin Feb 20 2013

Keywords

Comments

Column 5 of A222444

Examples

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

Links

Formula

Empirical: a(n) = 118*a(n-1) -2811*a(n-2) +22255*a(n-3) -53860*a(n-4) -54747*a(n-5) +269406*a(n-6) -175392*a(n-7)

A222442 Number of n X 6 0..3 arrays with entries increasing mod 4 by 0, 1 or 2 rightwards and downwards, starting with upper left zero.

Original entry on oeis.org

243, 50421, 10499787, 2187822609, 455924913093, 95013316876491, 19800569621116647, 4126399930787828049, 859933842854600077173, 179208573795933519199311, 37346725549299749805268107
Offset: 1

Views

Author

R. H. Hardin, Feb 20 2013

Keywords

Comments

Column 6 of A222444.

Examples

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

Links

Crossrefs

Cf. A222444.

Formula

Empirical: a(n) = 312*a(n-1) -25524*a(n-2) +890339*a(n-3) -15323331*a(n-4) +129432870*a(n-5) -387838226*a(n-6) -1530469395*a(n-7) +14599631124*a(n-8) -35234863780*a(n-9) +5987707122*a(n-10) +87399541374*a(n-11) -99581148396*a(n-12) +21008679048*a(n-13).

A222443 Number of nX7 0..3 arrays with entries increasing mod 4 by 0, 1 or 2 rightwards and downwards, starting with upper left zero.

Original entry on oeis.org

729, 352947, 171655443, 83550197745, 40672916404629, 19800569621116647, 9639473169171326643, 4692774165276650869245, 2284579009484665788160179, 1112199638674265376676027137, 541451207318902554322801201323
Offset: 1

Views

Author

R. H. Hardin Feb 20 2013

Keywords

Comments

Column 7 of A222444

Examples

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

Links

Formula

Empirical: a(n) = 819*a(n-1) -204870*a(n-2) +23772465*a(n-3) -1425117615*a(n-4) +39256237101*a(n-5) +152726588506*a(n-6) -44930408762253*a(n-7) +1339351117403163*a(n-8) -14928730509168400*a(n-9) -78819457526601069*a(n-10) +4062765406012345179*a(n-11) -37757121486290980278*a(n-12) -68240926106201387961*a(n-13) +3794936331451819680117*a(n-14) -23779739227140824191548*a(n-15) -29753992296912636572943*a(n-16) +964450568348716046319045*a(n-17) -3168844144197475082957586*a(n-18) -8369063489056264717051593*a(n-19) +71412993203919367864890213*a(n-20) -74563700867966091891336516*a(n-21) -455986800032456271721738005*a(n-22) +1231765494915388749316654095*a(n-23) +283901706113530417691883255*a(n-24) -4132677014051553863111984256*a(n-25) +3387077069617720093747964751*a(n-26) +2993562068266703115786456423*a(n-27) -5325198850408891226227169886*a(n-28) +2404171219327378689634190766*a(n-29) -275064708832449378413299470*a(n-30) -50931693338666432991888546*a(n-31) +9198797534128825159826898*a(n-32)
Previous Showing 11-13 of 13 results.

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