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A089047 Greatest edge-length of a square dissectable into up to n squares in Mrs. Perkins's quilt problem. 3
1, 1, 1, 2, 2, 3, 4, 5, 7, 9, 13, 17, 23, 29, 41, 53, 70, 91, 126, 158, 216, 276, 386, 488, 675, 866, 1179, 1544, 2136, 2739, 3755, 4988, 5976, 7640, 9945, 13102, 17304, 23251, 31516, 40812, 53382, 72016, 91937, 92638 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

An inverse to A005670.

It is not clear which terms have been proved to be correct and which are just conjectures. - Geoffrey H. Morley, Sep 07 2012

Terms up to and including a(18) have been proved correct by Ed Wynn (2013) - Stuart E Anderson, Sep 16 2013

LINKS

Table of n, a(n) for n=1..44.

Ed Pegg, Jr., Mrs. Perkins's Quilts

Ed Pegg Jr. and Richard K. Guy, Mrs. Perkins's Quilts (Wolfram Demonstrations Project)

Ed Wynn, Exhaustive generation of Mrs Perkins's quilt square dissections for low orders, arXiv:1308.5420 [math.CO], 2013-2014.

CROSSREFS

Cf. A005670, A018835, A089046, A211302.

Sequence in context: A173090 A032277 A205579 * A133498 A282949 A249576

Adjacent sequences:  A089044 A089045 A089046 * A089048 A089049 A089050

KEYWORD

nonn,hard,more

AUTHOR

R. K. Guy, Dec 03 2003

EXTENSIONS

More terms from Ed Pegg Jr, Dec 03 2003

Corrected and extended by Ed Pegg Jr, Apr 18 2010

Duplicate a(6) deleted and a(22)-a(26) revised (from Ed Pegg Jr, Jun 15 2010) by Geoffrey H. Morley, Sep 07 2012

Conjectured terms have been extended up to a(44), based on simple squared square enumeration, by Duijvestijn, Skinner, Anderson, Pegg, Johnson, Milla and Williams. - Stuart E Anderson, Sep 16 2013

STATUS

approved

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Last modified May 28 10:34 EDT 2017. Contains 287240 sequences.