[go: up one dir, main page]

login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Revision History for A297461 (Bold, blue-underlined text is an addition; faded, red-underlined text is a deletion.)

Showing all changes.
Number of 5Xn 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 0 or 2 neighboring 1s.
(history; published version)
#4 by R. H. Hardin at Sat Dec 30 11:12:54 EST 2017
STATUS

editing

approved

#3 by R. H. Hardin at Sat Dec 30 11:12:51 EST 2017
LINKS

R. H. Hardin, <a href="/A297461/b297461.txt">Table of n, a(n) for n = 1..210</a>

#2 by R. H. Hardin at Sat Dec 30 11:12:34 EST 2017
NAME

allocated for R. H. Hardin

Number of 5Xn 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 0 or 2 neighboring 1s.

DATA

32, 120, 1652, 9774, 97005, 693884, 6088511, 46944276, 392535101, 3118759741, 25587588782, 205730539432, 1675286670914, 13533370289499, 109877296946086, 889273550010333, 7211533560114492, 58408475650808548, 473441572842310456

OFFSET

1,1

COMMENTS

Row 5 of A297457.

FORMULA

Empirical: a(n) = 9*a(n-1) +25*a(n-2) -300*a(n-3) +190*a(n-4) +1036*a(n-5) -2513*a(n-6) +22460*a(n-7) -37310*a(n-8) -37759*a(n-9) +114450*a(n-10) -509961*a(n-11) +255438*a(n-12) +1144003*a(n-13) +1351722*a(n-14) +2846459*a(n-15) -6588847*a(n-16) -11171903*a(n-17) -1935014*a(n-18) +5860087*a(n-19) +22836946*a(n-20) +11156919*a(n-21) -18405627*a(n-22) -7467708*a(n-23) +2121469*a(n-24) -5003462*a(n-25) -927919*a(n-26) +3006648*a(n-27) +863641*a(n-28) -357454*a(n-29) -265914*a(n-30) -33568*a(n-31) +31636*a(n-32) +9112*a(n-33)

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A297457.

KEYWORD

allocated

nonn

AUTHOR

R. H. Hardin, Dec 30 2017

STATUS

approved

editing

#1 by R. H. Hardin at Sat Dec 30 11:02:42 EST 2017
NAME

allocated for R. H. Hardin

KEYWORD

allocated

STATUS

approved