A203960 Number of (n+1)X4 0..2 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

447, 6586, 144184, 2774984, 45390107, 632607409, 7690733410, 83135996535, 812074240345, 7260121862315, 60024774098177, 462838246472937, 3351860217182274, 22932862542007852, 148977365912549452

Offset

1,1

Comments

Column 3 of A203965

Links

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

Formula

Empirical: a(n) = 70*a(n-1) -2390*a(n-2) +53026*a(n-3) -859280*a(n-4) +10837486*a(n-5) -110689678*a(n-6) +940467534*a(n-7) -6775582821*a(n-8) +41975896416*a(n-9) -225945601128*a(n-10) +1064739771036*a(n-11) -4415619896328*a(n-12) +16165513660116*a(n-13) -52288711297332*a(n-14) +149160295747764*a(n-15) -373162375580709*a(n-16) +809119940631882*a(n-17) -1484223951053770*a(n-18) +2178963883075318*a(n-19) -2146560280535480*a(n-20) -39085438231766*a(n-21) +6024585300469078*a(n-22) -16111370788098326*a(n-23) +26799852258923207*a(n-24) -29210326010513316*a(n-25) +11504776740632844*a(n-26) +32600593598129128*a(n-27) -92110560248711488*a(n-28) +133407867113598392*a(n-29) -112515294835778680*a(n-30) +6161615044794680*a(n-31) +156112517978995805*a(n-32) -288784683826825574*a(n-33) +293693764907358870*a(n-34) -130895641732610322*a(n-35) -134974860855522688*a(n-36) +358965293492784994*a(n-37) -405877274016750338*a(n-38) +243936796446407746*a(n-39) +30720051124321969*a(n-40) -259761347702652728*a(n-41) +328048339099510784*a(n-42) -229573881432089796*a(n-43) +52077364009364856*a(n-44) +95462224098943732*a(n-45) -151426903228240084*a(n-46) +121968628140188372*a(n-47) -54270113113921399*a(n-48) -4686638262187882*a(n-49) +32942542265444042*a(n-50) -33614401931263814*a(n-51) +21094772073143112*a(n-52) -8016780378010938*a(n-53) +41021215954938*a(n-54) +2818476851537094*a(n-55) -2765176161007827*a(n-56) +1790718345039036*a(n-57) -910785954481380*a(n-58) +383581455732864*a(n-59) -136587085998000*a(n-60) +41434143634752*a(n-61) -10708969866816*a(n-62) +2345491881472*a(n-63) -430737604864*a(n-64) +65228628992*a(n-65) -7943769088*a(n-66) +748765184*a(n-67) -51318784*a(n-68) +2277376*a(n-69) -49152*a(n-70) for n>83

Example

Some solutions for n=4
..2..1..2..1....0..1..1..2....1..0..0..0....2..1..1..2....2..1..1..1
..1..2..1..2....2..2..2..2....0..1..2..2....1..2..2..2....1..2..2..2
..2..1..2..1....2..2..2..2....0..2..0..0....2..2..2..0....2..2..2..2
..1..2..1..2....2..2..2..2....2..2..2..2....2..2..2..1....2..2..2..2
..2..1..2..1....2..2..2..2....2..2..2..2....2..2..2..2....2..2..2..2

Crossrefs

Sequence in context: A221506 A065576 A200071 * A147628 A153486 A062040

Adjacent sequences: A203957 A203958 A203959 * A203961 A203962 A203963

Keyword

nonn

Author

R. H. Hardin Jan 08 2012

Status

approved