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A203890 Number of (n+1)X3 0..4 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j-1) and c(i,j)=a(i,j)+a(i-1,j) such that rows of b(i,j) and columns of c(i,j) are lexicographically nondecreasing 1
1940, 72423, 2634939, 77658673, 1905833494, 40229386532, 749063366121, 12535141537226, 191242521800837, 2690139305938679, 35208729581593880, 431982976092325293, 4999780614788889712, 54880725698805100992 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 2 of A203896

LINKS

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

FORMULA

Empirical: a(n) = 113*a(n-1) -6212*a(n-2) +221320*a(n-3) -5743578*a(n-4) +115686762*a(n-5) -1881637300*a(n-6) +25385784476*a(n-7) -289559900411*a(n-8) +2831744617627*a(n-9) -23990568939384*a(n-10) +177421407232548*a(n-11) -1151542770623620*a(n-12) +6581382606249668*a(n-13) -33166648415633624*a(n-14) +147244251273583720*a(n-15) -573676787225046537*a(n-16) +1945529285627436633*a(n-17) -5653175906885608140*a(n-18) +13632899209590599472*a(n-19) -25275549289365335046*a(n-20) +26996624185887539574*a(n-21) +27514801759037962500*a(n-22) -228578690691943803756*a(n-23) +648578714971495706373*a(n-24) -1104524167019935286085*a(n-25) +758125252964554137744*a(n-26) +1975099513683495197724*a(n-27) -8096734337687492730840*a(n-28) +14475306425401821863736*a(n-29) -10311204158778679293840*a(n-30) -18886510494399069305232*a(n-31) +71910030987170161382661*a(n-32) -104927385446792767549173*a(n-33) +34709702765526406135908*a(n-34) +183459840233517980554824*a(n-35) -427790462178686912054598*a(n-36) +383661619584704028435894*a(n-37) +204989717108233906841748*a(n-38) -1090893106593272569491708*a(n-39) +1386914265547499843827191*a(n-40) -249704725847759373400407*a(n-41) -1929579273401741622417144*a(n-42) +3180927203312421179741532*a(n-43) -1543693952335729850412612*a(n-44) -2440289534025257195083836*a(n-45) +5242368207399176480073192*a(n-46) -3449425978780042805424216*a(n-47) -2171357608986362083588347*a(n-48) +6496764791131381439919147*a(n-49) -4990946217417066840150228*a(n-50) -1220325548656901202637440*a(n-51) +6153168224365712029228518*a(n-52) -5193673082976535010782038*a(n-53) -187355555971944419763044*a(n-54) +4448192121060076655732812*a(n-55) -4015656326744395267126273*a(n-56) +395195160456728617610753*a(n-57) +2413130348445486514245984*a(n-58) -2319754896370509655523100*a(n-59) +463193173391849568471520*a(n-60) +945494753528095019680000*a(n-61) -988768347210022251948544*a(n-62) +284984967876914601192704*a(n-63) +246176108235756043694592*a(n-64) -300578715380273875862016*a(n-65) +113324841332324381630464*a(n-66) +33087180491340983842816*a(n-67) -60518872350391493066752*a(n-68) +29085791185688298045440*a(n-69) -1287370776372728168448*a(n-70) -6682427627908260888576*a(n-71) +4328817508217561481216*a(n-72) -1164504819226908229632*a(n-73) -123893897873735024640*a(n-74) +255898088117161426944*a(n-75) -123071804852448264192*a(n-76) +36109768027715665920*a(n-77) -7151361123252436992*a(n-78) +945308745791963136*a(n-79) -76179162229899264*a(n-80) +2853152143441920*a(n-81) for n>88

EXAMPLE

Some solutions for n=4

..4..4..4....1..1..1....2..3..1....1..2..4....0..3..1....1..0..1....3..0..3

..4..4..4....0..4..4....3..2..4....3..3..3....1..2..4....2..3..4....0..3..2

..4..4..4....2..3..3....2..3..3....2..4..4....3..4..3....2..4..1....2..1..4

..4..4..4....4..4..4....3..2..4....3..4..3....3..4..3....2..4..1....2..4..0

..4..4..4....4..4..4....1..4..2....3..4..3....3..4..3....3..4..1....4..4..4

CROSSREFS

Sequence in context: A259513 A202529 A236714 * A200656 A201047 A269039

Adjacent sequences:  A203887 A203888 A203889 * A203891 A203892 A203893

KEYWORD

nonn

AUTHOR

R. H. Hardin Jan 07 2012

STATUS

approved

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Last modified June 5 16:30 EDT 2020. Contains 334852 sequences. (Running on oeis4.)