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A116732 a(n) = a(n-1) + a(n-2) + a(n-3) - a(n-4). 4
0, 0, 0, 1, 1, 2, 4, 6, 11, 19, 32, 56, 96, 165, 285, 490, 844, 1454, 2503, 4311, 7424, 12784, 22016, 37913, 65289, 112434, 193620, 333430, 574195, 988811, 1702816, 2932392, 5049824, 8696221, 14975621, 25789274, 44411292, 76479966, 131704911, 226806895 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,6

COMMENTS

An example of a "symmetric" quartic recurrence and has some expected divisibility properties.

LINKS

Table of n, a(n) for n=0..39.

Index to sequences with linear recurrences with constant coefficients, signature (1,1,1,-1).

FORMULA

G.f.: x^3/(x^4 - x^3 - x^2 - x + 1).

MATHEMATICA

LinearRecurrence[{1, 1, 1, -1}, {0, 0, 0, 1}, 40] (* Vladimir Joseph Stephan Orlovsky, Feb 02 2012 *)

CROSSREFS

Close to A000786 (& A048239), A115992, A115993. Cf. A116201.

Sequence in context: A115992 A115993 A136424 * A048239 A000786 A000694

Adjacent sequences:  A116729 A116730 A116731 * A116733 A116734 A116735

KEYWORD

nonn,easy

AUTHOR

R. K. Guy, Mar 23 2008

EXTENSIONS

More terms from Max Alekseyev, Mar 23 2008

STATUS

approved

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Last modified April 20 05:05 EDT 2014. Contains 240779 sequences.