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A224151 Number of 7Xn 0..1 arrays with rows and antidiagonals unimodal and columns nondecreasing 1
8, 64, 357, 1536, 5471, 16885, 46586, 117510, 275557, 608423, 1277544, 2571226, 4991541, 9394324, 17211567, 30799955, 53979914, 92858530, 157069847, 261620888, 429605663, 696147855, 1114062432, 1761895136, 2755216271, 4262322913 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 7 of A224146

LINKS

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

FORMULA

Empirical: a(n) = (1/87178291200)*n^14 + (1/4151347200)*n^13 + (1/136857600)*n^12 + (19/106444800)*n^11 + (53/12441600)*n^10 + (121/1382400)*n^9 + (1007857/609638400)*n^8 + (427321/29030400)*n^7 + (5519/62208)*n^6 + (217709/604800)*n^5 + (8736011/8553600)*n^4 + (1790117/950400)*n^3 + (90367957/37837800)*n^2 + (49717/40040)*n + 1

EXAMPLE

Some solutions for n=3

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

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

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

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

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

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

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

CROSSREFS

Sequence in context: A267189 A181480 A223948 * A225014 A228460 A202909

Adjacent sequences:  A224148 A224149 A224150 * A224152 A224153 A224154

KEYWORD

nonn

AUTHOR

R. H. Hardin Mar 31 2013

STATUS

approved

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Last modified May 23 12:34 EDT 2022. Contains 353975 sequences. (Running on oeis4.)