A201384 -id:A201384 - cp's OEIS frontend

A201379 Number of nX3 0..1 arrays with rows and columns lexicographically nondecreasing and the instance counts of every value within one of each other.

2, 4, 19, 27, 115, 122, 467, 433, 1461, 1208, 3797, 2931, 8642, 6292, 17780, 12430, 33822, 22825, 60401, 39688, 102439, 65739, 166387, 104780, 260549, 161323, 395367, 241382, 583802, 351915, 841664, 501871, 1188050, 701410, 1645719, 963241

Offset: 1

R. H. Hardin Nov 30 2011

nonn

Column 3 of A201384

			Some solutions for n=10
..0..0..1....0..0..0....0..0..1....0..0..1....0..0..0....0..0..1....0..0..0
..0..1..0....0..0..0....0..1..0....0..1..0....0..0..1....0..0..1....0..0..1
..0..1..0....0..0..1....0..1..0....0..1..0....0..0..1....0..0..1....0..0..1
..0..1..0....0..1..1....0..1..1....0..1..0....0..1..0....0..0..1....0..0..1
..0..1..1....0..1..1....0..1..1....1..0..0....0..1..0....0..1..1....0..0..1
..1..0..0....0..1..1....1..0..0....1..0..0....0..1..0....1..0..0....0..1..1
..1..0..1....0..1..1....1..0..0....1..0..1....1..0..1....1..0..1....1..0..1
..1..1..0....1..0..0....1..0..1....1..1..0....1..1..0....1..0..1....1..1..0
..1..1..0....1..1..0....1..1..0....1..1..0....1..1..1....1..0..1....1..1..0
..1..1..0....1..1..1....1..1..0....1..1..1....1..1..1....1..1..0....1..1..1

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

Empirical: a(n) = 4*a(n-2) -3*a(n-4) -8*a(n-6) +14*a(n-8) -14*a(n-12) +8*a(n-14) +3*a(n-16) -4*a(n-18) +a(n-20)

A201380 Number of nX4 0..1 arrays with rows and columns lexicographically nondecreasing and the instance counts of every value within one of each other.

Original entry on oeis.org

1, 7, 27, 121, 483, 1751, 5694, 16870, 46014, 116842, 278837, 630353, 1358517, 2806843, 5584567, 10741640, 20039166, 36362252, 64333159, 111214759, 188207532, 312302096, 508868575, 815256003, 1285706310, 1998034336, 3062559792

Offset: 1

R. H. Hardin Nov 30 2011

nonn

Column 4 of A201384

			Some solutions for n=9
..0..0..0..1....0..0..0..1....0..0..0..1....0..0..0..0....0..0..0..0
..0..0..1..1....0..0..0..1....0..0..1..1....0..0..0..1....0..0..1..1
..0..1..1..0....0..0..1..0....0..0..1..1....0..1..1..0....0..1..0..0
..0..1..1..0....0..1..0..1....0..0..1..1....0..1..1..0....0..1..0..1
..1..0..0..0....0..1..0..1....0..1..0..1....0..1..1..0....0..1..1..0
..1..0..0..1....0..1..0..1....0..1..1..0....0..1..1..1....0..1..1..1
..1..1..0..0....0..1..0..1....1..0..1..0....1..0..1..1....0..1..1..1
..1..1..0..1....1..1..1..0....1..0..1..0....1..1..0..0....1..0..1..1
..1..1..0..1....1..1..1..1....1..0..1..1....1..1..1..0....1..1..0..0

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

Empirical: a(n) = 4*a(n-1) +a(n-2) -20*a(n-3) +4*a(n-4) +52*a(n-5) +6*a(n-6) -112*a(n-7) -64*a(n-8) +196*a(n-9) +174*a(n-10) -228*a(n-11) -325*a(n-12) +148*a(n-13) +457*a(n-14) -457*a(n-16) -148*a(n-17) +325*a(n-18) +228*a(n-19) -174*a(n-20) -196*a(n-21) +64*a(n-22) +112*a(n-23) -6*a(n-24) -52*a(n-25) -4*a(n-26) +20*a(n-27) -a(n-28) -4*a(n-29) +a(n-30)

A201381 Number of nX5 0..1 arrays with rows and columns lexicographically nondecreasing and the instance counts of every value within one of each other.

Original entry on oeis.org

2, 9, 115, 483, 7148, 24779, 295813, 804538, 7711613, 17135660, 137991357, 261853930, 1838296465, 3078156753, 19352193027, 29273561002, 168059197372, 233637796573, 1242746736360, 1608517392555, 8015798428649, 9756858004272

Offset: 1

R. H. Hardin Nov 30 2011

nonn

Column 5 of A201384

			Some solutions for n=6
..0..0..0..1..1....0..0..0..1..1....0..0..0..0..1....0..0..0..1..1
..0..0..1..0..0....0..0..1..0..1....0..0..1..1..1....0..0..1..0..0
..0..0..1..0..1....0..1..0..1..0....0..1..0..0..1....0..0..1..0..1
..0..1..1..1..1....0..1..1..1..1....1..1..0..0..0....0..1..1..1..1
..1..0..1..0..1....1..0..1..0..0....1..1..0..1..0....1..0..0..0..0
..1..1..0..1..0....1..1..1..0..0....1..1..0..1..1....1..1..1..1..1

R. H. Hardin, Table of n, a(n) for n = 1..180

A201382 Number of nX6 0..1 arrays with rows and columns lexicographically nondecreasing and the instance counts of every value within one of each other.

Original entry on oeis.org

1, 13, 122, 1751, 24779, 326650, 3826202, 39589830, 364013320, 3005372641, 22522846792, 154739772302, 983097718721, 5818909235791, 32292922468841, 168956847012130, 837348841763554, 3947230438308504, 17762594565022972

Offset: 1

R. H. Hardin Nov 30 2011

nonn

Column 6 of A201384

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

R. H. Hardin, Table of n, a(n) for n = 1..90

A201383 Number of nX7 0..1 arrays with rows and columns lexicographically nondecreasing and the instance counts of every value within one of each other.

Original entry on oeis.org

2, 16, 467, 5694, 295813, 3826202, 175765510, 1819250859, 65629320845, 534428405524, 15483460261810, 102996778664996, 2488946990439369, 14017118437802211, 291386682009006888, 1427682924988875276

Offset: 1

R. H. Hardin Nov 30 2011

nonn

Column 7 of A201384

			Some solutions for n=4
..0..0..0..0..0..1..1....0..0..0..0..0..0..1....0..0..0..0..1..1..1
..0..0..1..1..1..0..1....0..1..1..1..1..1..0....0..0..1..1..0..1..1
..1..1..0..0..1..1..0....0..1..1..1..1..1..0....0..1..1..1..0..1..1
..1..1..0..1..0..1..0....1..0..0..0..1..1..0....1..0..0..0..0..0..1

R. H. Hardin, Table of n, a(n) for n = 1..53

A201378 Number of n X n 0..1 arrays with rows and columns lexicographically nondecreasing and the instance counts of every value within one of each other.

Original entry on oeis.org

2, 3, 19, 121, 7148, 326650, 175765510, 74872992399, 400292326222730, 1748923742658486631

Offset: 1

R. H. Hardin Nov 30 2011

nonn

Diagonal of A201384

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

cp's OEIS Frontend

A201379 Number of nX3 0..1 arrays with rows and columns lexicographically nondecreasing and the instance counts of every value within one of each other.

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A201380 Number of nX4 0..1 arrays with rows and columns lexicographically nondecreasing and the instance counts of every value within one of each other.

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A201381 Number of nX5 0..1 arrays with rows and columns lexicographically nondecreasing and the instance counts of every value within one of each other.

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A201382 Number of nX6 0..1 arrays with rows and columns lexicographically nondecreasing and the instance counts of every value within one of each other.

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A201383 Number of nX7 0..1 arrays with rows and columns lexicographically nondecreasing and the instance counts of every value within one of each other.

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A201378 Number of n X n 0..1 arrays with rows and columns lexicographically nondecreasing and the instance counts of every value within one of each other.

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