Revision History for A055384
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| A055384
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Expansion of (1 + 4*x + 14*x^2 + 34*x^3 + 63*x^4 + 80*x^5 + 87*x^6 + 68*x^7 + 42*x^8 + 20*x^9 + 7*x^10) / ((1 - x)*(1 - x^2)^2*(1 - x^3)^2*(1 - x^4)).
(history;
published version)
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#10 by Ray Chandler at Sun Oct 01 12:35:12 EDT 2023
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#9 by Ray Chandler at Sun Oct 01 12:35:08 EDT 2023
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<a href="/index/Rec#order_15">Index entries for linear recurrences with constant coefficients</a>, signature (1, 2, 0, -2, -4, 1, 3, 3, 1, -4, -2, 0, 2, 1, -1).
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approved
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#8 by Alois P. Heinz at Sun Aug 28 11:20:17 EDT 2016
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#7 by Alois P. Heinz at Sun Aug 28 11:20:13 EDT 2016
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nonn,easy,changed
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reviewed
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#6 by Michael De Vlieger at Sun Aug 28 09:12:54 EDT 2016
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#5 by Vincenzo Librandi at Sun Aug 28 04:21:52 EDT 2016
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#4 by Vincenzo Librandi at Sun Aug 28 04:21:12 EDT 2016
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| LINKS
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Vincenzo Librandi, <a href="/A055384/b055384.txt">Table of n, a(n) for n = 0..1000</a>
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| MATHEMATICA
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CoefficientList[Series[(1 + 4 x + 14 x^2 + 34 x^3 + 63 x^4 + 80 x^5 + 87 x^6 + 68 x^7 + 42 x^8 + 20 x^9 + 7 x^10) / ((1 - x) (1 - x^2)^2 (1 - x^3)^2 (1 - x^4)), {x, 0, 40}], x] (* Vincenzo Librandi, Aug 28 2016 *)
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approved
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Discussion
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| Sun Aug 28
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| Vincenzo Librandi: Prima che qualcuno "reclami", mi fermo qui, grazie.
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#3 by Russ Cox at Fri Mar 30 16:48:50 EDT 2012
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| AUTHOR
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_N. J. A. Sloane (njas(AT)research.att.com), _, Jul 05 2000
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Discussion
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| Fri Mar 30
| 16:48
| OEIS Server: https://oeis.org/edit/global/110
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#2 by N. J. A. Sloane at Fri Feb 27 03:00:00 EST 2009
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nonn,new
nonn
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| AUTHOR
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N. J. A. Sloane (njas, (AT)research.att.com), Jul 05 2000
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#1 by N. J. A. Sloane at Sat Jul 22 03:00:00 EDT 2000
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| NAME
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Expansion of (1 + 4*x + 14*x^2 + 34*x^3 + 63*x^4 + 80*x^5 + 87*x^6 + 68*x^7 + 42*x^8 + 20*x^9 + 7*x^10) / ((1 - x)*(1 - x^2)^2*(1 - x^3)^2*(1 - x^4)).
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| DATA
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1, 5, 21, 65, 168, 364, 726, 1316, 2253, 3649, 5681, 8505, 12390, 17544, 24318, 33008, 44061, 57841, 74935, 95785, 121098, 151440, 187650, 230388, 280683, 339297, 407415, 485961, 576290, 679444, 797016, 930176, 1080711, 1249989
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| OFFSET
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0,2
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| REFERENCES
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R. P. Stanley, Enumerative Combinatorics, Cambridge, Vol. 2, 1999; see Problem 6.28(c), y_5.
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| KEYWORD
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nonn
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| AUTHOR
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njas, Jul 05 2000
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approved
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