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A211503 Number of -3..3 arrays x(i) of n+1 elements i=1..n+1 with x(i)+x(j), x(i+1)+x(j+1), -(x(i)+x(j+1)), and -(x(i+1)+x(j)) having one, three or four distinct values for every i<=n and j<=n 1
39, 221, 1205, 6467, 34121, 177699, 915213, 4669391, 23634429, 118812727, 593811441, 2952974203, 14621731205, 72132302495, 354709008197, 1739483827823, 8510158543657, 41549694953587, 202504122129701, 985469127469735 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

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

FORMULA

Empirical: a(n) = 25*a(n-1) -86*a(n-2) -2766*a(n-3) +23247*a(n-4) +119511*a(n-5) -1816907*a(n-6) -1574319*a(n-7) +82177349*a(n-8) -80086855*a(n-9) -2544562219*a(n-10) +5233419501*a(n-11) +58355698297*a(n-12) -162820706903*a(n-13) -1038587068889*a(n-14) +3432535121071*a(n-15) +14802727614020*a(n-16) -53791218025674*a(n-17) -172734790259807*a(n-18) +651236422650137*a(n-19) +1673935940750700*a(n-20) -6198185244826844*a(n-21) -13547457654687744*a(n-22) +46657431196628188*a(n-23) +91183889759752412*a(n-24) -277464963716582740*a(n-25) -503244480078414108*a(n-26) +1296483650559001036*a(n-27) +2226208616402273320*a(n-28) -4731973333934855704*a(n-29) -7668189725072349984*a(n-30) +13488906625705777888*a(n-31) +19913542838860968768*a(n-32) -30400496999649986752*a(n-33) -37743504017134533824*a(n-34) +55219282681252131136*a(n-35) +50312571418640076416*a(n-36) -80714620361403032192*a(n-37) -43048893834396547072*a(n-38) +91858751622728153600*a(n-39) +15377448229443087360*a(n-40) -76554717071384068096*a(n-41) +12569054979688185856*a(n-42) +42186501659922612224*a(n-43) -20980813531597193216*a(n-44) -11942638263898144768*a(n-45) +12698021906726846464*a(n-46) -618436227085631488*a(n-47) -3502870289992646656*a(n-48) +1472014657436254208*a(n-49) +192136320744685568*a(n-50) -334040726799122432*a(n-51) +94469527294705664*a(n-52) +6296177226022912*a(n-53) -11509731541647360*a(n-54) +3579027117834240*a(n-55) -576235361009664*a(n-56) +49941879717888*a(n-57) -1855425871872*a(n-58)

EXAMPLE

Some solutions for n=5

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

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

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

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

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

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

CROSSREFS

Sequence in context: A221797 A068975 A177709 * A266104 A190538 A190606

Adjacent sequences:  A211500 A211501 A211502 * A211504 A211505 A211506

KEYWORD

nonn

AUTHOR

R. H. Hardin Apr 13 2012

STATUS

approved

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Last modified September 29 22:48 EDT 2022. Contains 357092 sequences. (Running on oeis4.)