

A140343


a(n)=4a(n1)7a(n2)+6a(n3)3a(n4), n>4.


6



0, 0, 0, 0, 1, 4, 9, 14, 14, 0, 41, 122, 243, 364, 364, 0, 1093, 3280, 6561, 9842, 9842, 0, 29525, 88574, 177147, 265720, 265720, 0, 797161, 2391484, 4782969, 7174454, 7174454, 0, 21523361, 64570082, 129140163, 193710244, 193710244, 0, 581130733
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

0,6


COMMENTS

This is the main sequence representing the degenerate case of sequences which equal their sixth differences, where, besides the generic a(n)=6a(n1)15a(n2)+20a(n3)15a(n4)+6a(n5), cf. A135356, there is also a shorter recurrence. Another sequence of this kind is A134581.


LINKS

Table of n, a(n) for n=0..40.
Index entries for linear recurrences with constant coefficients, signature (4,7,6,3).


FORMULA

O.g.f.: x^4/((x^2x+1)(3x^23x+1)).  R. J. Mathar, Jul 10 2008


MATHEMATICA

Join[{0}, LinearRecurrence[{4, 7, 6, 3}, {0, 0, 0, 1}, 40]] (* Harvey P. Dale, Mar 11 2015 *)


CROSSREFS

Cf. A135356.
Sequence in context: A042083 A264733 A102776 * A279230 A244037 A091880
Adjacent sequences: A140340 A140341 A140342 * A140344 A140345 A140346


KEYWORD

sign,easy


AUTHOR

Paul Curtz, May 29 2008


EXTENSIONS

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


STATUS

approved



