A223809 Number of nX5 0..3 arrays with rows, columns, diagonals and antidiagonals unimodal

296, 87616, 8165133, 342521725, 8597979566, 151474085262, 2058985931297, 22901512677629, 216485354275124, 1784167200609912, 13053474850518508, 85927775923343738, 514305111112459789, 2823064297778339125

Offset

1,1

Comments

Column 5 of A223811

Links

R. H. Hardin, Table of n, a(n) for n = 1..55

Formula

Empirical: a(n) = (12185409283/15043832793341144432640000000)*n^30 + (65289291955553/4420880996869850977271808000000)*n^29 + (21718473047041/19884022474676990902272000000)*n^28 + (2120108278451/127355198250507042816000000)*n^27 + (15561105953549293/36296231501394507202560000000)*n^26 + (289358623979/26564081706860544000000)*n^25 + (46195046293174813/2345294958551645080780800000)*n^24 + (2895943411744833937/781764986183881693593600000)*n^23 - (1934558843887147381/509846730119922843648000000)*n^22 + (48760416035116711/147141913454523187200000)*n^21 + (21826875298852452953/4855683143999265177600000)*n^20 - (156850672232660797/13601353344535756800000)*n^19 - (81113944137104012165989/348842499555736682496000000)*n^18 + (24830083604445741151639/930246665481964486656000)*n^17 - (2812142506870759694352953/4104029406538078617600000)*n^16 + (97155764191026540631493/5922120355754803200000)*n^15 - (6012916017623459423535490877/16611547597892222976000000)*n^14 + (42676596532256238158237909/6084815969923891200000)*n^13 - (451076788569987755746145023843/4025105764104654028800000)*n^12 + (1675232798260911600311989982501/1158742568454370099200000)*n^11 - (7157215149697402554044186072517719/477981309487427665920000000)*n^10 + (552107030494681804261361610031/4436844978069504000000)*n^9 - (2415940983456589943036911811427841/2908351883124559872000000)*n^8 + (103326033975482855639269665005533/23082157802575872000000)*n^7 - (7877089396965831951756259428407549/399547133702196480000000)*n^6 + (10172973554483534081526630673099/140642547829056000000)*n^5 - (34242481981306851689859252316747/153159734585841984000)*n^4 + (27230471296744908127446139183/47668762709568000)*n^3 - (2769560342993078431580752847/2411812398996000)*n^2 + (18165979496961348183233/10782822050)*n - 1410583198450 for n>15

Example

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

Crossrefs

Sequence in context: A224047 A224278 A224201 * A223759 A223847 A223873

Adjacent sequences: A223806 A223807 A223808 * A223810 A223811 A223812

Keyword

nonn

Author

R. H. Hardin Mar 27 2013

Status

approved