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A280957 Number of nX4 0..2 arrays with no element equal to more than one of its horizontal, vertical and antidiagonal neighbors and with new values introduced in order 0 sequentially upwards. 1
11, 205, 1554, 14106, 126267, 1121528, 9986376, 88940022, 791997382, 7052519878, 62801413162, 559236961207, 4979918315253, 44345374930680, 394888443546716, 3516418473800700, 31313145020210260, 278838553941378885 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 of A280961.

LINKS

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

FORMULA

Empirical: a(n) = 11*a(n-1) -25*a(n-2) +62*a(n-3) +6*a(n-4) -470*a(n-5) -199*a(n-6) -97*a(n-7) +1761*a(n-8) +1271*a(n-9) -4651*a(n-10) +16916*a(n-11) +28022*a(n-12) -48991*a(n-13) -17485*a(n-14) +9764*a(n-15) -403040*a(n-16) -181089*a(n-17) +1006721*a(n-18) +635719*a(n-19) -545439*a(n-20) +450907*a(n-21) +419840*a(n-22) -1904900*a(n-23) -1409770*a(n-24) +462471*a(n-25) -68469*a(n-26) -393605*a(n-27) +577614*a(n-28) +1161352*a(n-29) +807943*a(n-30) +65475*a(n-31) -70526*a(n-32) -17768*a(n-33) -450612*a(n-34) -560853*a(n-35) -288048*a(n-36) +109569*a(n-37) +243445*a(n-38) +191920*a(n-39) +25889*a(n-40) -30729*a(n-41) -31913*a(n-42) -14398*a(n-43) -9025*a(n-44) +830*a(n-45) +2189*a(n-46) +2423*a(n-47) +167*a(n-48) -140*a(n-49) -187*a(n-50) +2*a(n-51) +10*a(n-52) +4*a(n-53) -a(n-54) for n>57

EXAMPLE

Some solutions for n=4

..0..1..0..1. .0..0..1..1. .0..1..0..2. .0..1..0..1. .0..1..0..0

..2..0..1..2. .2..2..0..0. .0..2..1..1. .0..2..1..0. .0..1..2..1

..1..2..0..2. .0..1..2..1. .2..0..0..2. .1..0..2..2. .2..0..1..0

..0..2..1..0. .0..1..0..0. .1..2..1..0. .2..1..0..0. .0..2..2..1

CROSSREFS

Cf. A280961.

Sequence in context: A064748 A191556 A091814 * A020518 A196849 A196699

Adjacent sequences:  A280954 A280955 A280956 * A280958 A280959 A280960

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 11 2017

STATUS

approved

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Last modified September 23 16:29 EDT 2021. Contains 347618 sequences. (Running on oeis4.)