A223876 -id:A223876 - cp's OEIS frontend

A223871 Number of n X 3 0..3 arrays with rows, diagonals and antidiagonals unimodal.

50, 2500, 99223, 3863372, 152918517, 6066668157, 240345697904, 9519219712534, 377068749332794, 14936662560715369, 591673197324653702, 23437360043162717039, 928401612451857089159, 36775894520547706164712

Offset: 1

R. H. Hardin, Mar 28 2013

nonn

Column 3 of A223876.

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

R. H. Hardin, Table of n, a(n) for n = 1..210

Cf. A223876.

Empirical: a(n) = 40*a(n-1) -132*a(n-2) +4459*a(n-3) +13745*a(n-4) -279374*a(n-5) -216409*a(n-6) -10116301*a(n-7) -38256907*a(n-8) +322157439*a(n-9) +897495274*a(n-10) +3199485479*a(n-11) +15600399494*a(n-12) -40103358672*a(n-13) -213466075938*a(n-14) -190360919826*a(n-15) -232629523048*a(n-16) +234440936372*a(n-17) +1759786495760*a(n-18) +1770736417792*a(n-19) +1582997734272*a(n-20) +781069335952*a(n-21) -1858101760192*a(n-22) -2045017763520*a(n-23) -1010972140800*a(n-24) -530550835200*a(n-25) +130955034624*a(n-26) +240537600000*a(n-27) +51314688000*a(n-28).

A223872 Number of nX4 0..3 arrays with rows, diagonals and antidiagonals unimodal.

Original entry on oeis.org

130, 16900, 1336985, 88682677, 5941888105, 411716468431, 28928809433978, 2033941972287214, 142745781634483746, 10010372252279889400, 701993937730379495973, 49234252523359799838831, 3453202734892638263202801

Offset: 1

R. H. Hardin Mar 28 2013

nonn

Column 4 of A223876

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

R. H. Hardin, Table of n, a(n) for n = 1..210

A223873 Number of nX5 0..3 arrays with rows, diagonals and antidiagonals unimodal.

Original entry on oeis.org

296, 87616, 12520369, 1271992512, 122550633425, 12351748855245, 1299083474922390, 138955309650574888, 14892661035553869840, 1593443532741228709813, 170300353977982013960252

Offset: 1

R. H. Hardin Mar 28 2013

nonn

Column 5 of A223876

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

R. H. Hardin, Table of n, a(n) for n = 1..210

A223874 Number of nX6 0..3 arrays with rows, diagonals and antidiagonals unimodal.

Original entry on oeis.org

610, 372100, 90648289, 13394424591, 1705349067795, 222723966999899, 31033209360480497, 4506383006996850479, 664129167006783939721, 98073753144458822374289, 14467688866723338479395847

Offset: 1

R. H. Hardin Mar 28 2013

nonn

Column 6 of A223876

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

R. H. Hardin, Table of n, a(n) for n = 1..81

A223875 Number of nX7 0..3 arrays with rows, diagonals and antidiagonals unimodal.

Original entry on oeis.org

1163, 1352569, 539511985, 112751480926, 18196418303111, 2864914204785815, 484392484470533427, 87639412130515076262, 16416724973038782090075, 3109914769847317351993452, 590107761875963492888166548

Offset: 1

R. H. Hardin Mar 28 2013

nonn

Column 7 of A223876

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

R. H. Hardin, Table of n, a(n) for n = 1..19

A223877 Number of 3Xn 0..3 arrays with rows, diagonals and antidiagonals unimodal.

Original entry on oeis.org

64, 4096, 99223, 1336985, 12520369, 90648289, 539511985, 2744980059, 12266400036, 49108723398, 178849231722, 599732197006, 1869990523340, 5465951755716, 15079975128525, 39496585750239, 98695673406660

Offset: 1

R. H. Hardin Mar 28 2013

nonn

Row 3 of A223876

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

R. H. Hardin, Table of n, a(n) for n = 1..210

Empirical: a(n) = (89/169374965760)*n^18 + (838301/44460928512000)*n^17 + (1621091/3487131648000)*n^16 + (1400869/186810624000)*n^15 + (17909/188697600)*n^14 + (173367409/186810624000)*n^13 + (137278391/19160064000)*n^12 + (407205871/8382528000)*n^11 + (181325017/812851200)*n^10 + (3123945389/2612736000)*n^9 + (24186912011/12773376000)*n^8 + (223345835639/14370048000)*n^7 - (117158072963/4151347200)*n^6 + (56268858807829/326918592000)*n^5 - (9869157660331/19813248000)*n^4 + (26939359241/20270250)*n^3 - (1768948870159/735134400)*n^2 + (1057606733/408408)*n - 1275 for n>1

A223878 Number of 4Xn 0..3 arrays with rows, diagonals and antidiagonals unimodal.

Original entry on oeis.org

256, 65536, 3863372, 88682677, 1271992512, 13394424591, 112751480926, 798519332969, 4918189868664, 26945689043408, 133456233695247, 604775893442790, 2531399109074463, 9862376758221364, 35997221510544568

Offset: 1

R. H. Hardin Mar 28 2013

nonn

Row 4 of A223876

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

R. H. Hardin, Table of n, a(n) for n = 1..177
R. H. Hardin, Empirical polynomial of degree 24

Empirical polynomial of degree 24 (see link above)

A223879 Number of 5Xn 0..3 arrays with rows, diagonals and antidiagonals unimodal.

Original entry on oeis.org

1024, 1048576, 152918517, 5941888105, 122550633425, 1705349067795, 18196418303111, 160679898741339, 1229765413154086, 8391601872683197, 51974570843642850, 295702768916620339, 1558622615940769358

Offset: 1

R. H. Hardin Mar 28 2013

nonn

Row 5 of A223876

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

R. H. Hardin, Table of n, a(n) for n = 1..30

A223880 Number of 6Xn 0..3 arrays with rows, diagonals and antidiagonals unimodal.

Original entry on oeis.org

4096, 16777216, 6066668157, 411716468431, 12351748855245, 222723966999899, 2864914204785815, 29313435510121943, 256460553486002269, 2005690447094149401

Offset: 1

R. H. Hardin Mar 28 2013

nonn

Row 6 of A223876

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

cp's OEIS Frontend

A223871 Number of n X 3 0..3 arrays with rows, diagonals and antidiagonals unimodal.

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A223872 Number of nX4 0..3 arrays with rows, diagonals and antidiagonals unimodal.

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A223873 Number of nX5 0..3 arrays with rows, diagonals and antidiagonals unimodal.

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A223874 Number of nX6 0..3 arrays with rows, diagonals and antidiagonals unimodal.

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A223875 Number of nX7 0..3 arrays with rows, diagonals and antidiagonals unimodal.

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A223877 Number of 3Xn 0..3 arrays with rows, diagonals and antidiagonals unimodal.

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A223878 Number of 4Xn 0..3 arrays with rows, diagonals and antidiagonals unimodal.

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A223879 Number of 5Xn 0..3 arrays with rows, diagonals and antidiagonals unimodal.

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A223880 Number of 6Xn 0..3 arrays with rows, diagonals and antidiagonals unimodal.

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