The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A293499

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A293499

Number of unlabeled hereditary semiorders on n points.
(history; published version)

#22 by Wesley Ivan Hurt at Sat May 18 20:39:35 EDT 2019

STATUS

proposed

approved

#21 by Jon E. Schoenfield at Sat May 18 18:05:40 EDT 2019

STATUS

editing

proposed

#20 by Jon E. Schoenfield at Sat May 18 18:05:38 EDT 2019

FORMULA

G.f.: -x*(1 - 6*x + 12*x^2 - 9*x^3 + x^4) / ( (x-1)*(x^4 - 13*x^3 + 16*x^2 - 7*x + 1) ).

MATHEMATICA

LinearRecurrence[{8, -23, 29, -14, 1}, {1, 2, 5, 14, 42}, 27] (* Robert G. Wilson v, Jan 07 2018 *)

STATUS

approved

editing

#19 by N. J. A. Sloane at Mon Jan 08 02:58:54 EST 2018

STATUS

proposed

approved

#18 by Robert G. Wilson v at Sun Jan 07 12:01:02 EST 2018

STATUS

editing

proposed

#17 by Robert G. Wilson v at Sun Jan 07 11:59:35 EST 2018

MATHEMATICA

CoefficientList[ Series[(-1 +6x -12x^2 +9x^3 -x^4)/(-1 +8x -23x^2 +29x^3 -14x^4 +x^5), {x, 0, 26}], x] (* or *)LinearRecurrence[{8, -23, 29, -14, 1}, {1, 2, 5, 14, 42}, 27] (* _Robert G. Wilson v_, Jan 07 2018*)

LinearRecurrence[{8, -23, 29, -14, 1}, {1, 2, 5, 14, 42}, 27] (* Robert G. Wilson v, Jan 07 2018*)

#16 by Robert G. Wilson v at Sun Jan 07 11:59:14 EST 2018

MATHEMATICA

CoefficientList[ Series[(-1 +6x -12x^2 +9x^3 -x^4)/(-1 +8x -23x^2 +29x^3 -14x^4 +x^5), {x, 0, 26}], x] (* or *)LinearRecurrence[{8, -23, 29, -14, 1}, {1, 2, 5, 14, 42}, 27] (* Robert G. Wilson v, Jan 07 2018*)

STATUS

proposed

editing

#15 by Mitchel T. Keller at Sun Jan 07 11:52:39 EST 2018

STATUS

editing

proposed

#14 by Joerg Arndt at Sat Jan 06 07:08:00 EST 2018

LINKS

Mitchel T. Keller, Stephen J. Young, <a href="https://arxiv.org/abs/1801.00501">Hereditary Semiorders and Enumeration of Semiorders by Dimension</a>, arXiv:1801.00501 [math.CO], (2018)

#13 by R. J. Mathar at Thu Dec 07 16:35:35 EST 2017

LINKS

<a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (8,-23,29,-14,1).

FORMULA

G.f.: -(x^5 *(1- 96*x^4 + 12*x^3 2- 69*x^2 3+ x^4) / ( (x^5 - 141)*(x^4 + 29-13*x^3 - 23+16*x^2 + 8-7*x - +1) ).

Discussion

Fri Jan 05

18:11

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