The On-Line Encyclopedia of Integer Sequences (OEIS)

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A202126

Number of -n..n arrays of 5 elements with first, second and third differences also in -n..n
(history; published version)

#8 by Peter Luschny at Fri Jun 28 14:48:30 EDT 2019

STATUS

proposed

approved

#7 by Robert Israel at Fri Jun 28 14:08:48 EDT 2019

STATUS

editing

proposed

#6 by Robert Israel at Fri Jun 28 14:08:43 EDT 2019

FORMULA

Empirical: a(n) = a(n-1) +3*a(n-3) -2*a(n-4) -4*a(n-6) +3*a(n-9) +3*a(n-10) -4*a(n-13) -2*a(n-15) +3*a(n-16) +a(n-18) -a(n-19).

a(n) ~ (44471/16200)*n^5. - Robert Israel, Jun 28 2019

STATUS

approved

editing

#5 by Russ Cox at Sat Mar 31 12:36:46 EDT 2012

AUTHOR

_R. H. Hardin (rhhardin(AT)att.net) _ Dec 11 2011

Discussion

Sat Mar 31

12:36

OEIS Server: https://oeis.org/edit/global/875

#4 by Ron Hardin at Sun Dec 11 18:36:37 EST 2011

STATUS

editing

approved

#3 by Ron Hardin at Sun Dec 11 18:36:32 EST 2011

LINKS

R. H. Hardin, <a href="/A202126/b202126.txt">Table of n, a(n) for n = 1..195</a>

#2 by Ron Hardin at Sun Dec 11 18:36:14 EST 2011

NAME

allocated for Ron HardinNumber of -n..n arrays of 5 elements with first, second and third differences also in -n..n

DATA

27, 293, 1509, 5205, 14063, 32267, 65773, 122709, 213697, 352075, 554381, 840659, 1234569, 1764039, 2461495, 3363883, 4513485, 5958085, 7750859, 9951423, 12625883, 15846605, 19693499, 24253977, 29622535, 35902357, 43205125, 51650425

OFFSET

1,1

COMMENTS

Row 5 of A202124

FORMULA

Empirical: a(n) = a(n-1) +3*a(n-3) -2*a(n-4) -4*a(n-6) +3*a(n-9) +3*a(n-10) -4*a(n-13) -2*a(n-15) +3*a(n-16) +a(n-18) -a(n-19)

EXAMPLE

Some solutions for n=5

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

.-4....1....1...-2....5....1....0...-4....4....2...-5...-1...-4....0....0....5

.-5...-1....1...-2....3....0....1...-3....3....2...-3...-1...-4....2....1....5

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

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

KEYWORD

allocated

nonn

AUTHOR

R. H. Hardin (rhhardin(AT)att.net) Dec 11 2011

STATUS

approved

editing

#1 by Ron Hardin at Sun Dec 11 18:25:53 EST 2011

NAME

allocated for Ron Hardin

KEYWORD

allocated

STATUS

approved