The On-Line Encyclopedia of Integer Sequences (OEIS)

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A017868

Expansion of 1/(1-x^8-x^9-x^10).
(history; published version)

#16 by Charles R Greathouse IV at Thu Sep 08 08:44:43 EDT 2022

PROG

(MAGMAMagma) m:=70; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/(1-x^8-x^9-x^10))); /* or */ I:=[1, 0, 0, 0, 0, 0, 0, 0, 1, 1]; [n le 10 select I[n] else Self(n-8)+Self(n-9)+Self(n-10): n in [1..70]]; // Vincenzo Librandi, Jun 28 2013

Discussion

Thu Sep 08

08:44

OEIS Server: https://oeis.org/edit/global/2944

#15 by N. J. A. Sloane at Fri May 26 16:44:19 EDT 2017

STATUS

proposed

approved

#14 by Ilya Gutkovskiy at Fri May 26 15:20:42 EDT 2017

STATUS

editing

proposed

#13 by Ilya Gutkovskiy at Fri May 26 15:18:45 EDT 2017

COMMENTS

Number of compositions (ordered partitions) of n into parts 8, 9 and 10. - Ilya Gutkovskiy, May 26 2017

STATUS

approved

editing

#12 by Charles R Greathouse IV at Sat Jun 13 00:48:52 EDT 2015

LINKS

<a href="/index/Rec">Index to sequences with entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,0,0,1,1,1).

Discussion

Sat Jun 13

00:48

OEIS Server: https://oeis.org/edit/global/2439

#11 by Charles R Greathouse IV at Fri Jun 12 15:32:25 EDT 2015

LINKS

<a href="/index/Rec#recLCC">Index to sequences with linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,0,0,1,1,1).

Discussion

Fri Jun 12

15:32

OEIS Server: https://oeis.org/edit/global/2437

#10 by Charles R Greathouse IV at Fri Jun 12 15:18:53 EDT 2015

LINKS

<a href="/Sindx_Rea.htmlindex/Rec#recLCC">Index to sequences with linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,0,0,1,1,1).

Discussion

Fri Jun 12

15:18

OEIS Server: https://oeis.org/edit/global/2434

#9 by Bruno Berselli at Fri Jun 28 16:42:12 EDT 2013

STATUS

editing

approved

#8 by Bruno Berselli at Fri Jun 28 16:41:21 EDT 2013

FORMULA

a(n) = a(n-8) +a(n-9) +a(n-10), for n>9. - Vincenzo Librandi, Jun 28 2013

MATHEMATICA

CoefficientList[Series[1/(1 - Total[x^Range[8, 10]]), {x, 0, 8070}], x] (* Vincenzo Librandi, Jun 28 2013 *)

PROG

(MAGMA) m:=8070; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/(1-x^8-x^9-x^10))); /* or */ I:=[1, 0, 0, 0, 0, 0, 0, 0, 1, 1]; [n le 10 select I[n] else Self(n-8)+Self(n-9)+Self(n-10): n in [1..8070]]; // Vincenzo Librandi, Jun 28 2013

STATUS

proposed

editing

#7 by Vincenzo Librandi at Fri Jun 28 16:33:07 EDT 2013

STATUS

editing

proposed