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Revision History for A200155 (Underlined text is an addition; strikethrough text is a deletion.)

Showing entries 1-10 | older changes
A200155 Number of 0..n arrays x(0..3) of 4 elements with zero 3rd differences.
(history; published version)
#14 by Susanna Cuyler at Fri Mar 02 14:13:48 EST 2018
STATUS

proposed

approved

#13 by Colin Barker at Fri Mar 02 12:36:29 EST 2018
STATUS

editing

proposed

#12 by Colin Barker at Fri Mar 02 12:35:57 EST 2018
FORMULA

Empirical: a(n) = 2*a(n-1) -) - a(n-2) +) + 2*a(n-3) -) - 4*a(n-4) +) + 2*a(n-5) -) - a(n-6) +) + 2*a(n-7) -) - a(n-8).

Empirical g.f.: x*(4 + x + 8*x^2 - 2*x^3 + 4*x^4 + 2*x^6 - x^7) / ((1 - x)^4*(1 + x + x^2)^2). - Colin Barker, Mar 02 2018

EXAMPLE

Some solutions for n=6:

CROSSREFS

Cf. A200154.

STATUS

approved

editing

#11 by Michel Marcus at Tue Apr 08 00:17:23 EDT 2014
STATUS

editing

approved

#10 by Michel Marcus at Tue Apr 08 00:17:19 EDT 2014
AUTHOR

_R. H. Hardin_ _, Nov 13 2011

STATUS

proposed

editing

#9 by Jon E. Schoenfield at Tue Apr 08 00:14:13 EDT 2014
STATUS

editing

proposed

#8 by Jon E. Schoenfield at Tue Apr 08 00:14:10 EDT 2014
NAME

Number of 0..n arrays x(0..3) of 4 elements with zero 3rd differencedifferences.

STATUS

proposed

editing

#7 by Jon E. Schoenfield at Tue Apr 08 00:13:12 EDT 2014
STATUS

editing

proposed

#6 by Jon E. Schoenfield at Tue Apr 08 00:13:09 EDT 2014
NAME

Number of 0..n arrays x(0..3) of 4 elements with zero 3th3rd difference.

COMMENTS

Row 4 of A200154.

FORMULA

Empirical: a(n) = 2*a(n-1) -a(n-2) +2*a(n-3) -4*a(n-4) +2*a(n-5) -a(n-6) +2*a(n-7) -a(n-8)).

STATUS

approved

editing

#5 by Russ Cox at Sat Mar 31 12:36:38 EDT 2012
AUTHOR

_R. H. Hardin (rhhardin(AT)att.net) _ Nov 13 2011

Discussion
Sat Mar 31 12:36
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Last modified August 31 08:34 EDT 2024. Contains 375560 sequences. (Running on oeis4.)