

A140342


a(n)=5a(n1)11a(n2)+13a(n3)9a(n4)+3a(n5)a(n6).


3



0, 0, 0, 0, 0, 1, 5, 14, 28, 42, 42, 0, 131, 417, 924, 1652, 2380, 2380, 0, 7753, 25213, 56714, 102256, 147798, 147798, 0, 479779, 1557649, 3499720, 6305992, 9112264, 9112264, 0, 29587889, 96072133, 215873462, 388991876, 562110290, 562110290, 0
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OFFSET

0,7


COMMENTS

This is the main sequence representing the degenerate case of sequences which equal their seventh difference, where besides the generic a(n)=7a(n1)21(n2)+35a(n3)35a(n4)+21a(n5)7a(n6)+2a(n7), cf. A135356, there is also a shorter recurrence.
After the first four terms, every seventh term is zero.  Harvey P. Dale, Sep 20 2012


LINKS

Harvey P. Dale, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (5, 11, 13, 9, 3, 1).


FORMULA

O.g.f.: x^5/(15x+11x^213x^3+9x^43x^5+x^6).  R. J. Mathar, Jul 10 2008


MATHEMATICA

LinearRecurrence[{5, 11, 13, 9, 3, 1}, {0, 0, 0, 0, 0, 1}, 40] (* Harvey P. Dale, Sep 20 2012 *)


CROSSREFS

Cf. A135356, A140343.
Sequence in context: A014106 A110325 A331775 * A055454 A301294 A073347
Adjacent sequences: A140339 A140340 A140341 * A140343 A140344 A140345


KEYWORD

sign,easy


AUTHOR

Paul Curtz, May 29 2008


EXTENSIONS

Edited and extended by R. J. Mathar, Jul 10 2008


STATUS

approved



