login
This site is supported by donations to The OEIS Foundation.

 

Logo

Thanks to everyone who made a donation during our annual appeal!
To see the list of donors, or make a donation, see the OEIS Foundation home page.

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A017859 Expansion of 1/(1-x^7-x^8-x^9-x^10). 1
1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 3, 4, 3, 2, 1, 1, 3, 6, 10, 12, 12, 10, 7, 7, 11, 20, 31, 40, 44, 41, 36, 35, 45, 69, 102, 135, 156, 161, 156, 157, 185, 251, 351, 462, 554, 608, 630, 659, 749, 944, 1249, 1618 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,16

COMMENTS

Number of compositions of n into parts p where 7 <= p <= 10. [Joerg Arndt, Jun 28 2013]

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,1,1,1,1).

FORMULA

a(n) = a(n-7) +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[7, 10]]), {x, 0, 70}], x] (* Vincenzo Librandi, Jun 28 2013 *)

PROG

(MAGMA) m:=70; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/(1-x^7-x^8-x^9-x^10))); /* or */ I:=[1, 0, 0, 0, 0, 0, 0, 1, 1, 1]; [n le 10 select I[n] else Self(n-7)+Self(n-8)+Self(n-9)+Self(n-10): n in [1..70]]; // Vincenzo Librandi, Jun 28 2013

CROSSREFS

Sequence in context: A107469 A167600 A008287 * A171456 A028356 A232244

Adjacent sequences:  A017856 A017857 A017858 * A017860 A017861 A017862

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified January 16 15:53 EST 2019. Contains 319195 sequences. (Running on oeis4.)