A232283 Number of 3Xn 0..2 arrays with no element less than a strict majority of its horizontal, diagonal and antidiagonal neighbors

27, 104, 1672, 23055, 293426, 3476318, 43029161, 548534827, 6950600398, 86968922214, 1087064387012, 13644752950393, 171525134753339, 2153854540230655, 27023874463279901, 339119484253726298

Offset

1,1

Comments

Row 3 of A232281

Links

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

Formula

Empirical: a(n) = 17*a(n-1) -98*a(n-2) +588*a(n-3) +891*a(n-4) -17800*a(n-5) +4642*a(n-6) -350550*a(n-7) -1671757*a(n-8) +1440437*a(n-9) -435916*a(n-10) +42118797*a(n-11) +165685573*a(n-12) +44358479*a(n-13) +37766438*a(n-14) -1367958836*a(n-15) -5432870364*a(n-16) -4537452091*a(n-17) -4959053212*a(n-18) +13817886217*a(n-19) +65544479236*a(n-20) +52108911671*a(n-21) +80972024455*a(n-22) -81868345204*a(n-23) -415440639468*a(n-24) -194431306067*a(n-25) -363213397675*a(n-26) +336969295981*a(n-27) +1682460917813*a(n-28) +653421701269*a(n-29) +708229389510*a(n-30) -725984712124*a(n-31) -3500124606193*a(n-32) -911909110638*a(n-33) -348446978889*a(n-34) +455840179665*a(n-35) +3145926964877*a(n-36) +439533410244*a(n-37) -658091997898*a(n-38) -323893058105*a(n-39) -410133925034*a(n-40) +588342140304*a(n-41) +14446254952*a(n-42) -276661103096*a(n-43) +174654369728*a(n-44) -55343615760*a(n-45) -76027661376*a(n-46) +162776070720*a(n-47) -27116758656*a(n-48) -81396731520*a(n-49) +5579953920*a(n-50) +7984396800*a(n-51) +466560000*a(n-52) for n>53

Example

Some solutions for n=5
..1..2..1..0..1....0..0..0..2..2....2..0..0..2..2....2..0..0..0..0
..0..0..0..2..0....0..0..0..2..2....0..0..2..1..1....0..1..0..0..1
..0..0..1..0..2....1..0..1..1..2....0..0..2..1..1....1..0..0..0..1

Crossrefs

Sequence in context: A323034 A031429 A154377 * A036923 A036346 A140376

Adjacent sequences: A232280 A232281 A232282 * A232284 A232285 A232286

Keyword

nonn

Author

R. H. Hardin, Nov 22 2013

Status

approved