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A202659 Number of -3..3 arrays of n elements with first through fourth differences also in -3..3 1
7, 37, 153, 475, 1101, 2591, 6055, 14199, 33289, 78119, 183447, 430889, 1011945, 2376423, 5580971, 13107163, 30782605, 72293525, 169783471, 398743229, 936465399, 2199327501, 5165208441, 12130703729, 28489466517, 66908707817 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A202664

LINKS

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

FORMULA

Empirical: a(n) = 5*a(n-1) -10*a(n-2) +15*a(n-3) -23*a(n-4) +35*a(n-5) -55*a(n-6) +70*a(n-7) -79*a(n-8) +92*a(n-9) -121*a(n-10) +134*a(n-11) -75*a(n-12) +57*a(n-13) -59*a(n-14) +38*a(n-15) +79*a(n-16) -242*a(n-17) +321*a(n-18) -392*a(n-19) +418*a(n-20) -695*a(n-21) +682*a(n-22) -386*a(n-23) +129*a(n-24) +79*a(n-25) -185*a(n-26) +488*a(n-27) -496*a(n-28) +728*a(n-29) -84*a(n-30) -854*a(n-31) +552*a(n-32) -973*a(n-33) +1092*a(n-34) -551*a(n-35) +798*a(n-36) -267*a(n-37) -405*a(n-38) +245*a(n-39) -403*a(n-40) +342*a(n-41) -135*a(n-42) +183*a(n-43) -36*a(n-44) -108*a(n-45) -23*a(n-46) +44*a(n-47) +45*a(n-48) +95*a(n-49) +34*a(n-50) -7*a(n-51) -66*a(n-52) -24*a(n-53) -52*a(n-54) +27*a(n-55) -7*a(n-56) -13*a(n-57) -14*a(n-58) -2*a(n-59) +13*a(n-60) +3*a(n-61) +a(n-62) +3*a(n-63) +a(n-64) -3*a(n-66) -a(n-68) -a(n-69) for n>78

EXAMPLE

Some solutions for n=10

..2...-2....1....1....2...-3...-2....0....1...-3...-2....0...-1....2...-2...-3

.-1...-2....3....0....2...-1....0...-1...-1...-3...-1....1....1...-1....1...-1

.-3...-1....2....1....3....1....0....0...-1...-2...-1....1....2...-2....1....0

.-3....0....0....1....3....1...-1....1...-1...-2...-1....2....2...-1....0....0

.-1....0...-1....0....1....0...-3....2...-2...-2....0....3....2....1....0....0

..1...-1...-1....0...-1...-1...-3....2...-3...-1....0....2....2....2....0....0

..3...-1...-2....0...-2...-1...-1....1...-3....0...-1....0....2....3...-1....0

..3....0...-3...-1...-3....0....1...-1...-1....0...-1...-2....1....2...-2...-1

..1....2...-3...-2...-2....2....2...-1....1....0....0...-2....1....0...-3...-3

.-2....2...-3...-2....0....2....2....2....1....0....3....0....2....0...-3...-3

CROSSREFS

Sequence in context: A162541 A196574 A094729 * A202119 A201083 A036678

Adjacent sequences:  A202656 A202657 A202658 * A202660 A202661 A202662

KEYWORD

nonn

AUTHOR

R. H. Hardin Dec 22 2011

STATUS

approved

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Last modified May 23 15:18 EDT 2013. Contains 225610 sequences.