A003412 From a nim-like game. (Formerly M0559)

1, 2, 3, 4, 6, 8, 11, 14, 18, 24, 32, 43, 54, 68, 86, 110, 142, 185, 239, 307, 393, 503, 645, 830, 1069, 1376, 1769, 2272, 2917, 3747, 4816, 6192, 7961, 10233, 13150, 16897, 21713, 27905, 35866, 46099, 59249, 76146, 97859, 125764, 161630, 207729, 266978

Offset

0,2

References

R. K. Guy, personal communication.

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

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

R. K. Guy, Letter to N. J. A. Sloane, Apr 1975

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

Formula

Recurrence: a(n) = a(n-1) + a(n-6) for n >= 12.

O.g.f.: -(1+x+x^2+x^3+2*x^4+2*x^5+2*x^6+x^7+x^8+2*x^9+2*x^10+3*x^11) / (-1+x+x^6). - R. J. Mathar, Dec 05 2007

Mathematica

Join[{1, 2, 3, 4, 6, 8}, LinearRecurrence[{1, 0, 0, 0, 0, 1}, {11, 14, 18, 24, 32, 43}, 80]] (* Vladimir Joseph Stephan Orlovsky, Feb 11 2012 *)

Crossrefs

Cf. A005708.

Sequence in context: A053270 A261154 A233693 * A038348 A239467 A035945

Adjacent sequences: A003409 A003410 A003411 * A003413 A003414 A003415

Keyword

nonn

Author

N. J. A. Sloane

Status

approved