

A116732


a(n) = a(n1) + a(n2) + a(n3)  a(n4).


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
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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



