The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A196537

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A196537

Number of nX1 0..4 arrays with each element equal to the number its horizontal and vertical neighbors less than or equal to itself
(history; published version)

#7 by R. J. Mathar at Wed Jul 25 04:55:59 EDT 2012

STATUS

editing

approved

#6 by R. J. Mathar at Wed Jul 25 04:55:55 EDT 2012

FORMULA

Empirical: a(n) = a(n-1) +a(n-2) +3*a(n-3) +a(n-4).

Empirical: G.f. x*(x-1)*(x^2+3*x+1) / ( -1+x+x^2+3*x^3+x^4 ). - R. J. Mathar, Jul 25 2012

STATUS

approved

editing

#5 by Russ Cox at Sat Mar 31 12:36:26 EDT 2012

AUTHOR

_R. H. Hardin (rhhardin(AT)att.net) _ Oct 03 2011

Discussion

Sat Mar 31

12:36

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

#4 by Ron Hardin at Mon Oct 03 15:36:51 EDT 2011

STATUS

editing

approved

#3 by Ron Hardin at Mon Oct 03 15:36:47 EDT 2011

LINKS

R. H. Hardin, <a href="/A196537/b196537.txt">Table of n, a(n) for n = 1..200</a>

#2 by Ron Hardin at Mon Oct 03 15:36:23 EDT 2011

NAME

allocated for Ron HardinNumber of nX1 0..4 arrays with each element equal to the number its horizontal and vertical neighbors less than or equal to itself

DATA

1, 3, 2, 7, 19, 35, 77, 176, 377, 819, 1801, 3927, 8562, 18711, 40855, 89179, 194729, 425184, 928305, 2026855, 4425441, 9662395, 21096706, 46062279, 100571611, 219586403, 479441557, 1046805072, 2285577449, 4990293595, 10895727817

OFFSET

1,2

COMMENTS

Column 1 of A196544

FORMULA

Empirical: a(n) = a(n-1) +a(n-2) +3*a(n-3) +a(n-4)

EXAMPLE

All solutions for n=4

..0....0....1....0....0....1....0

..2....1....0....2....2....1....2

..2....2....2....1....1....2....0

..0....0....0....1....0....0....1

KEYWORD

allocated

nonn

AUTHOR

R. H. Hardin (rhhardin(AT)att.net) Oct 03 2011

STATUS

approved

editing

#1 by Ron Hardin at Mon Oct 03 15:32:59 EDT 2011

NAME

allocated for Ron Hardin

KEYWORD

allocated

STATUS

approved