The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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
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
KEYWORD
nonn
AUTHOR
R. H. Hardin Jan 07 2012
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 18 23:43 EDT 2024. Contains 372666 sequences. (Running on oeis4.)