A189101 Expansion of g.f. 1/(1-(x+x^2+x^3+x^4+x^6+x^7)).

1, 1, 2, 4, 8, 15, 30, 59, 115, 225, 441, 863, 1689, 3307, 6474, 12673, 24809, 48567, 95075, 186120, 364352, 713261, 1396290, 2733399, 5350944, 10475089, 20506194, 40143239, 78585017, 153839228, 301158021, 589551538, 1154115087, 2259313307, 4422866209

Offset: 0

Author

N. J. A. Sloane, Apr 19 2011

Keywords

• nonn
• easy

Comments

Compositions of n into parts !=5 and <=7. - Joerg Arndt, Jun 06 2011

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..300
• D. Applegate, M. LeBrun, and N. J. A. Sloane, Dismal Arithmetic, J. Int. Seq. 14 (2011) # 11.9.8.
• Index entries for linear recurrences with constant coefficients, signature (1,1,1,1,0,1,1).

Crossrefs

This sequence is the next in the series after A000931, A006498, A079976, A079968.

Programs

Maxima

makelist(coeff(taylor(1/(1-(x+x^2+x^3+x^4+x^6+x^7)), x, 0, n), x, n), n, 0, 34);  /* Bruno Berselli, Jun 05 2011 */

PARI

Vec(1/(1-(x+x^2+x^3+x^4+x^6+x^7))+O(x^99)) \\ Charles R Greathouse IV, Feb 26 2014