login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A220036 Number of 6 X n arrays of the minimum value of corresponding elements and their horizontal or diagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..1 6 X n array. 1
7, 12, 28, 83, 187, 358, 613, 962, 1426, 2034, 2823, 3839, 5137, 6782, 8850, 11429, 14620, 18538, 23313, 29091, 36035, 44326, 54164, 65769, 79382, 95266, 113707, 135015, 159525, 187598, 219622, 256013, 297216, 343706, 395989, 454603, 520119 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 6 of A220032.

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..155

FORMULA

Empirical: a(n) = (1/120)*n^5 - (1/12)*n^4 + (47/24)*n^3 - (23/12)*n^2 + (1771/30)*n - 323 for n>8.

Conjectures from Colin Barker, Jul 30 2018: (Start)

G.f.: x*(7 - 30*x + 61*x^2 - 45*x^3 - 26*x^4 + 59*x^5 - 35*x^6 + 3*x^7 + 24*x^8 - 21*x^9 + 3*x^10 + x^11 - x^12 + x^13) / (1 - x)^6.

a(n) = 6*a(n-1) - 15*a(n-2) + 20*a(n-3) - 15*a(n-4) + 6*a(n-5) - a(n-6) for n>14.

(End)

EXAMPLE

Some solutions for n=3:

..1..0..0....0..0..0....0..0..0....0..0..0....1..0..0....0..0..0....0..0..0

..1..0..0....0..0..0....0..0..0....1..0..0....1..1..1....1..0..0....0..0..0

..1..0..0....1..0..0....0..0..0....1..1..1....1..1..1....1..0..0....0..0..0

..1..0..0....1..0..0....1..1..0....1..1..1....1..1..1....1..1..1....1..0..0

..1..0..0....1..1..1....1..1..1....1..1..1....1..1..1....1..1..1....1..0..0

..1..1..1....1..1..1....1..1..1....1..1..1....1..1..1....1..1..1....1..1..1

CROSSREFS

Cf. A220032.

Sequence in context: A223417 A224699 A078575 * A330589 A197229 A316088

Adjacent sequences:  A220033 A220034 A220035 * A220037 A220038 A220039

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 03 2012

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified December 3 08:07 EST 2021. Contains 349445 sequences. (Running on oeis4.)