A251970 Number of (n+1)X(4+1) 0..3 arrays with nondecreasing sum of every two consecutive values in every row and column

40000, 1750000, 76562500, 1500625000, 29412250000, 345888060000, 4067643585600, 33470895790080, 275417656786944, 1738925256499200, 10979183698560000, 56483045388000000, 290580293025000000

Offset

1,1

Comments

Column 4 of A251974

Links

R. H. Hardin, Table of n, a(n) for n = 1..69

Formula

Empirical for n mod 2 = 0: a(n) = (1/1662081589978752614400)*n^30 + (11/92337866109930700800)*n^29 + (943/83104079498937630720)*n^28 + (47953/69253399582448025600)*n^27 + (351019/11542233263741337600)*n^26 + (1181903/1154223326374133760)*n^25 + (237977021/8656674947806003200)*n^24 + (871812367/1442779157967667200)*n^23 + (23980946683/2164168736951500800)*n^22 + (6888391429/40077198832435200)*n^21 + (410890073857/180347394745958400)*n^20 + (469036933181/18034739474595840)*n^19 + (34778169875659/135260546059468800)*n^18 + (49833698053129/22543424343244800)*n^17 + (560393123760047/33815136514867200)*n^16 + (611489881425653/5635856085811200)*n^15 + (174883489382521/281792804290560)*n^14 + (1091661732017293/352241005363200)*n^13 + (10689328634913073/792542262067200)*n^12 + (1122700571624951/22015062835200)*n^11 + (8262098206990751/49533891379200)*n^10 + (1936285038107993/4127824281600)*n^9 + (14335680552163/12740198400)*n^8 + (340108128733/149299200)*n^7 + (38196515411/9953280)*n^6 + (1215850999/230400)*n^5 + (996397801/172800)*n^4 + (1732123/360)*n^3 + 2877*n^2 + (3290/3)*n + 200

Empirical for n mod 2 = 1: a(n) = (1/1662081589978752614400)*n^30 + (11/92337866109930700800)*n^29 + (755/66483263599150104576)*n^28 + (96137/138506799164896051200)*n^27 + (5643637/184675732219861401600)*n^26 + (95327689/92337866109930700800)*n^25 + (3084026953/110805439331916840960)*n^24 + (14195232967/23084466527482675200)*n^23 + (6285606168799/554027196659584204800)*n^22 + (1818323341547/10259762901103411200)*n^21 + (437381284243303/184675732219861401600)*n^20 + (1259711797335533/46168933054965350400)*n^19 + (150997718345688499/554027196659584204800)*n^18 + (43773380747151701/18467573221986140160)*n^17 + (1994221212754510117/110805439331916840960)*n^16 + (1379281874698406689/11542233263741337600)*n^15 + (128194112142692914747/184675732219861401600)*n^14 + (65109099544047901109/18467573221986140160)*n^13 + (25976938716966335630849/1662081589978752614400)*n^12 + (2783881569199717975213/46168933054965350400)*n^11 + (335060423413374542064199/1662081589978752614400)*n^10 + (160839481936796469771881/277013598329792102400)*n^9 + (87990300630403205261087/61558577406620467200)*n^8 + (4580647671213936778057/1538964435165511680)*n^7 + (4243423147407000686647/820781032088272896)*n^6 + (111714413920756533355/15199648742375424)*n^5 + (28125244339036387375/3377699720527872)*n^4 + (2034213950902854875/281474976710656)*n^3 + (5078568035210551875/1125899906842624)*n^2 + (1014269878926871875/562949953421312)*n + (389325925610015625/1125899906842624)

Example

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

Crossrefs

Sequence in context: A252332 A106772 A015328 * A270261 A272889 A126104

Adjacent sequences: A251967 A251968 A251969 * A251971 A251972 A251973

Keyword

nonn

Author

R. H. Hardin, Dec 12 2014

Status

approved