

A103749


Expansion of x*(1+2*x)/(1+x+x^22*x^3).


0



0, 1, 1, 2, 3, 1, 8, 13, 3, 26, 55, 35, 72, 217, 215, 146, 795, 1079, 8, 2677, 4827, 2134, 8047, 19835, 16056, 19873, 75599, 87838, 27507, 266543, 414712, 93155, 854643, 1777222, 1108889, 2377619, 7040952, 6881111, 4915079, 25878094, 34725237, 983015
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OFFSET

0,4


COMMENTS

Insert n=3, p=2, q=1 and r=1 in Kenyon's characteristic polynomial x^np*x^(n1)+q*x+r=0 .


LINKS

Table of n, a(n) for n=0..41.
Richard Kenyon, The Construction of SelfSimilar Tilings, arXiv:math.MG/9405210
Index entries for linear recurrences with constant coefficients, signature (1,1,2).


FORMULA

a(n) = a(n1)a(n2)+2*a(n3) = A077975(n1)+2*A077975(n2).


MATHEMATICA

LinearRecurrence[{1, 1, 2}, {0, 1, 1}, 50] (* Harvey P. Dale, Jul 23 2013 *)


CROSSREFS

Cf. A099206.
Sequence in context: A006015 A110292 A138672 * A098435 A096294 A157963
Adjacent sequences: A103746 A103747 A103748 * A103750 A103751 A103752


KEYWORD

sign,easy


AUTHOR

Roger L. Bagula, Mar 28 2005


EXTENSIONS

Edited, replaced by signed variant by the Assoc. Eds. of the OEIS  Jul 31 2010


STATUS

approved



