The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A059681

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A059681

Triangle T(n,k) giving number of fixed 5 X k polyominoes with n cells (n >= 5, 1<=k<=n-4).
(history; published version)

#12 by Alois P. Heinz at Mon Oct 02 21:31:25 EDT 2017

STATUS

proposed

approved

#11 by Andrew Howroyd at Mon Oct 02 21:23:56 EDT 2017

STATUS

editing

proposed

#10 by Andrew Howroyd at Mon Oct 02 19:57:25 EDT 2017

CROSSREFS

Cf. A059678, A059679, A059680, A059681.

#9 by Andrew Howroyd at Mon Oct 02 19:44:10 EDT 2017

DATA

1, 0, 16, 0, 38, 83, 0, 32, 376, 230, 0, 10, 784, 1526, 497, 0, 1, 987, 5154, 2668, 4180, 932, 0, 0, 778, 11328, 18944, 9458, 1591, 0, 0, 370, 17598, 58665, 52488, 18936, 2538, 0, 0, 101, 19912, 135325, 204466, 123652, 34726, 3845, 0, 0, 15, 16440, 241550, 611859

LINKS

Andrew Howroyd, <a href="/A059681/b059681.txt">Table of n, a(n) for n = 5..1279</a>

FORMULA

T(n,k) = 0 for n > 5*k. - Andrew Howroyd, Oct 02 2017

EXAMPLE

0, 16;

0, 38, 83;

0, 32, 376, 230;

0, 10, 784, 1526, 497;

0, 1, 987, 5154, 4180, 932;

0, 0, 778, 11328, 18944, 9458, 1591;

CROSSREFS

Column sums are row 5 of A292357.

Cf. A059678, A059679, A059680, A059681.

KEYWORD

nonn,easy,nice,tabl,more

EXTENSIONS

a(24) corrected and terms a(26) and beyond from Andrew Howroyd, Oct 02 2017

STATUS

approved

editing

#8 by Bruno Berselli at Thu Jun 29 03:37:41 EDT 2017

STATUS

proposed

approved

#7 by Michel Marcus at Thu Jun 29 01:27:49 EDT 2017

STATUS

editing

proposed

#6 by Michel Marcus at Thu Jun 29 01:27:31 EDT 2017

REFERENCES

R. C. Read, Contributions to the cell growth problem, Canad. J. Math., 14 (1962), 1-20.

LINKS

R. C. Read, <a href="http://cms.math.ca/cjm/v14/cjm1962v14.0001-0020.pdf">Contributions to the cell growth problem</a>, Canad. J. Math., 14 (1962), 1-20.

EXAMPLE

Triangle starts:

1;

0,16;

0,38,83;

1; 0,16; 0,38,83; 0,32,376,230; ...

...

KEYWORD

nonn,easy,nice,tabl,more

STATUS

approved

editing

#5 by Charles R Greathouse IV at Thu Apr 12 11:42:52 EDT 2012

STATUS

editing

approved

#4 by Charles R Greathouse IV at Thu Apr 12 11:42:37 EDT 2012

KEYWORD

nonn,easy,nice,changed,tabl

STATUS

approved

editing

#3 by Russ Cox at Fri Mar 30 16:49:03 EDT 2012

AUTHOR

_N. J. A. Sloane (njas(AT)research.att.com), _, Feb 05 2001

Discussion

Fri Mar 30

16:49

OEIS Server: https://oeis.org/edit/global/110