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Search: id:A089931
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A089931 a(n)=3a(n-1)+3a(n-3)+a(n-4). +0
1
1, 3, 9, 30, 100, 330, 1089, 3597, 11881, 39240, 129600, 428040, 1413721, 4669203, 15421329, 50933190, 168220900, 555595890, 1835008569, 6060621597, 20016873361, 66111241680, 218350598400, 721163036880, 2381839709041 (list; graph; listen)
OFFSET

0,2

LINKS

Index entries for sequences related to Chebyshev polynomials.

FORMULA

a(n)=((3+sqrt(13)^n(11+3sqrt(13))/13+(3-sqrt(13)^n(11-3sqrt(13))/13)2^(-1-n)+2(-1)^n/13; a(n)=(-i)^nsum{k=0..floor(n/2), U(n-2k, 3i/2)} with i^2=-1.

CROSSREFS

Cf. A006498.

Sequence in context: A052906 A102898 A050181 this_sequence A096222 A090573 A048119

Adjacent sequences: A089928 A089929 A089930 this_sequence A089932 A089933 A089934

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Nov 15 2003

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Last modified August 29 17:54 EDT 2008. Contains 143238 sequences.


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