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A200168 Number of -n..n arrays x(0..4) of 5 elements with nonzero sum and with zero through 4 differences all nonzero 1
2, 276, 2778, 15040, 52486, 145482, 336992, 695778, 1309052, 2298830, 3808116, 6034796, 9189086, 13554364, 19435742, 27212132, 37285690, 50170962, 66371288, 86532042, 111309444, 141482278, 177842124, 221369312, 272987306, 333851184 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 5 of A200165

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..200

FORMULA

Empirical: a(n) = -a(n-1) -2*a(n-2) -a(n-3) -a(n-4) +a(n-5) +2*a(n-6) +3*a(n-7) +3*a(n-8) +3*a(n-9) +2*a(n-10) +2*a(n-11) +a(n-12) +a(n-13) -a(n-15) -a(n-16) -3*a(n-17) -2*a(n-18) -4*a(n-19) -3*a(n-20) -5*a(n-21) -4*a(n-22) -5*a(n-23) -3*a(n-24) -3*a(n-25) +3*a(n-28) +3*a(n-29) +5*a(n-30) +5*a(n-31) +6*a(n-32) +6*a(n-33) +5*a(n-34) +5*a(n-35) +3*a(n-36) +3*a(n-37) -3*a(n-40) -3*a(n-41) -5*a(n-42) -4*a(n-43) -5*a(n-44) -3*a(n-45) -4*a(n-46) -2*a(n-47) -3*a(n-48) -a(n-49) -a(n-50) +a(n-52) +a(n-53) +2*a(n-54) +2*a(n-55) +3*a(n-56) +3*a(n-57) +3*a(n-58) +2*a(n-59) +a(n-60) -a(n-61) -a(n-62) -2*a(n-63) -a(n-64) -a(n-65)

EXAMPLE

Some solutions for n=5

.-5....5...-3...-1...-5....3...-5...-3...-4....4....5....4...-1....1...-3....3

..5...-1...-5....4....1....4....5....4....1....1....2....5....3....4...-5....4

.-4....1....3...-5...-2...-4...-1...-3....4....3....5...-3....2....2....3...-2

..2...-5...-2....4....1....5....4...-5...-4....1...-1...-4....4...-1...-4...-3

..4...-3...-3...-5....3...-4....3...-3....5...-4....4....3....2....3...-1...-5

CROSSREFS

Sequence in context: A008775 A237993 A174710 * A215043 A119553 A093938

Adjacent sequences:  A200165 A200166 A200167 * A200169 A200170 A200171

KEYWORD

nonn

AUTHOR

R. H. Hardin Nov 13 2011

STATUS

approved

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Last modified October 18 04:46 EDT 2019. Contains 328145 sequences. (Running on oeis4.)