A223759 Number of nX5 0..3 arrays with rows, antidiagonals and columns unimodal.
296, 87616, 9478535, 499583168, 15947472102, 350182483445, 5733827943118, 73972033945807, 782389879664731, 6990377642784235, 54000675009376965, 367428839857095864, 2235505630899285226, 12314718611480572990
Offset: 1
Keywords
Examples
Some solutions for n=3 ..0..0..1..2..1....0..0..0..2..1....0..2..1..1..1....0..2..3..1..1 ..0..0..2..3..1....0..0..2..2..3....0..0..0..3..2....0..0..2..3..3 ..0..1..3..1..1....0..2..3..1..1....0..0..0..3..0....0..0..2..2..0
Links
- R. H. Hardin, Table of n, a(n) for n = 1..77
Formula
Empirical: a(n) = (12185409283/15043832793341144432640000000)*n^30 + (27923308904923/552610124608731372158976000000)*n^29 + (17202351123943/7559215155662327119872000000)*n^28 + (83889482659651/1146196784254563385344000000)*n^27 + (131580424853251541/72592463002789014405120000000)*n^26 + (91300610653453/2481793606932957757440000)*n^25 + (2869131224226844253/4690589917103290161561600000)*n^24 + (6733459014124696993/781764986183881693593600000)*n^23 + (105395815298504753443/1019693460239845687296000000)*n^22 + (470586110891157493/441425740363569561600000)*n^21 + (92313858824481506713/9711366287998530355200000)*n^20 + (40366817013100567291/539520349333251686400000)*n^19 + (2857208469478310355787/5765991728193994752000000)*n^18 + (73804544320284819569293/23256166637049112166400000)*n^17 + (105623541268201591322087/8208058813076157235200000)*n^16 + (20778860285663090466941/195429971739908505600000)*n^15 - (4122006232669364727200509/33223095195784445952000000)*n^14 + (14082517009271704071311/3155089762182758400000)*n^13 - (182553094899048464076429353/8050211528209308057600000)*n^12 + (351832338444643788138816403/2317485136908740198400000)*n^11 - (636192073310304596009591323513/955962618974855331840000000)*n^10 + (673686037713545840541517207/239589628815753216000000)*n^9 - (507622569326119951528072091/48071931952472064000000)*n^8 + (33298798403375782384332287329/969450627708186624000000)*n^7 - (2608160997837482966479278684073/36758336300602076160000000)*n^6 + (3318743520542516326928702347/122527787668673587200000)*n^5 + (519721318997776322417985167/6126389383433679360000)*n^4 + (8189409887763024441897379/7293320694563904000)*n^3 - (52484216692264826985673/9647249595984000)*n^2 + (2840122633336908109/465817912560)*n + 2746822 for n>5
Comments