A223792 Number of 5Xn 0..2 arrays with rows, diagonals and antidiagonals unimodal

243, 59049, 2703137, 39387861, 343454446, 2226551034, 11992802966, 57005353680, 246381084601, 983376748824, 3659208824870, 12782748762891, 42154099154095, 131837732493171, 392589737558511, 1116957062770205, 3045559149318525

Offset

1,1

Comments

Row 5 of A223789

Links

R. H. Hardin, Table of n, a(n) for n = 1..103

Formula

Empirical: a(n) = (63370093/405483668029440000)*n^20 - (268330757/121645100408832000)*n^19 + (43030249/328326856704000)*n^18 - (5473141/17072996548608)*n^17 - (2435352473/69742632960000)*n^16 + (170082680039/62768369664000)*n^15 - (9040480367419/125536739328000)*n^14 + (52864434956213/37661021798400)*n^13 - (1853752694469833/96566722560000)*n^12 + (2309334348058723/9656672256000)*n^11 - (7549354911696211/2145927168000)*n^10 + (117446496741518107/1931334451200)*n^9 - (140966223776288630033/156920924160000)*n^8 + (91382436096707306951/9415255449600)*n^7 - (86620685132489250907/1207084032000)*n^6 + (58712885643301237303/174356582400)*n^5 - (288444549825617915291/343062720000)*n^4 + (167215711426064855461/308756448000)*n^3 - (1138388070473741029/24443218800)*n^2 + (154082848393578809/16628040)*n - 14652081349 for n>15

Example

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

Crossrefs

Sequence in context: A222442 A228975 A016949 * A223978 A223573 A223329

Adjacent sequences: A223789 A223790 A223791 * A223793 A223794 A223795

Keyword

nonn

Author

R. H. Hardin Mar 27 2013

Status

approved