A223758 Number of nX4 0..3 arrays with rows, antidiagonals and columns unimodal

130, 16900, 916107, 26631193, 499583168, 6754232986, 70657105931, 600526842770, 4295532642860, 26553802745045, 144809883138117, 708169972948277, 3147072278088124, 12848530197514221, 48634231381716779, 171996928938851128

Offset

1,1

Comments

Column 4 of A223762

Links

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

Formula

Empirical: a(n) = (1224989653/34469355651846635520000)*n^24 + (49730855441/25852016738884976640000)*n^23 + (333257/5098722951168000)*n^22 + (26404629869/17030314057236480000)*n^21 + (15548385067/556091887583232000)*n^20 + (27895851209/69844076789760000)*n^19 + (413849303311/89633231880192000)*n^18 + (59360314638299/1344498478202880000)*n^17 + (77412356681/219118672281600)*n^16 + (251034590870443/105450861035520000)*n^15 + (898424139706433/66283398365184000)*n^14 + (16142406345876497/248562743869440000)*n^13 + (9698986684015669/37118703084503040)*n^12 + (278016346455319699/316352583106560000)*n^11 + (583356258129599/231760134144000)*n^10 + (1085396771654087/199717539840000)*n^9 + (179557726299779059/12804747411456000)*n^8 + (170830900302526489/48017802792960000)*n^7 + (27511312022727679/455355990835200)*n^6 - (2749822055519840233/88699552381440000)*n^5 - (122655525295200187/1222675534080000)*n^4 + (309022440348259051/271026410054400)*n^3 - (60572016509105077/18552403069200)*n^2 + (285878479129/70450380)*n - 1588 for n>2

Example

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

Crossrefs

Sequence in context: A333900 A224122 A223808 * A223846 A223872 A223797

Adjacent sequences: A223755 A223756 A223757 * A223759 A223760 A223761

Keyword

nonn

Author

R. H. Hardin Mar 27 2013

Status

approved