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Revision History for A192701

(Underlined text is an addition; strikethrough text is a deletion.)

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A192701 Number of 3X2 integer matrices with each row summing to zero, row elements in nondecreasing order, rows in lexicographically nondecreasing order, and the sum of squares of the elements <= 2*n^2 (number of collections of 3 zero-sum 2-vectors with total modulus squared not more than 2*n^2, ignoring vector and component permutations)
(history; published version)
#5 by Russ Cox at Sat Mar 31 12:36:20 EDT 2012
AUTHOR

_R. H. Hardin (rhhardin(AT)att.net) _ Jul 07 2011

Discussion
Sat Mar 31 12:36
OEIS Server: https://oeis.org/edit/global/875
#4 by Ron Hardin at Thu Jul 07 22:56:23 EDT 2011
STATUS

proposed

approved

#3 by Ron Hardin at Thu Jul 07 22:56:19 EDT 2011
LINKS

R. H. Hardin, <a href="/A192701/b192701.txt">Table of n, a(n) for n = 1..200</a>

#2 by Ron Hardin at Thu Jul 07 22:55:56 EDT 2011
NAME

allocatedNumber of 3X2 integer matrices with each row summing to zero, row elements in nondecreasing order, rows in lexicographically nondecreasing order, and the sum of squares of the elements <= 2*n^2 (number of collections of 3 zero-sum 2-vectors with total modulus squared not more than 2*n^2, ignoring vector forand Roncomponent Hardinpermutations)

DATA

2, 5, 10, 16, 27, 42, 58, 80, 110, 143, 182, 226, 281, 343, 413, 489, 576, 676, 783, 901, 1035, 1172, 1328, 1493, 1674, 1872, 2086, 2308, 2544, 2805, 3069, 3364, 3679, 4000, 4348, 4709, 5096, 5493, 5926, 6366, 6832, 7330, 7841, 8380, 8950, 9528, 10134, 10766

OFFSET

1,1

COMMENTS

Column (3,2,n) of A192710

EXAMPLE

Some solutions for 3X2 <= 2*4^2

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

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

..0..0....0..0...-1..1....0..0...-1..1....0..0....0..0....0..0...-1..1....0..0

KEYWORD

allocated

nonn

AUTHOR

R. H. Hardin (rhhardin(AT)att.net) Jul 07 2011

STATUS

approved

proposed

#1 by Ron Hardin at Thu Jul 07 22:39:49 EDT 2011
NAME

allocated for Ron Hardin

KEYWORD

allocated

STATUS

approved

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Last modified September 11 17:54 EDT 2024. Contains 375839 sequences. (Running on oeis4.)