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Search: id:A099014
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| A099014 |
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Fib(n)(Fib(n-1)^2+Fib(n+1)^2). |
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+0
2
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| 0, 1, 5, 20, 87, 365, 1552, 6565, 27825, 117844, 499235, 2114729, 8958240, 37947545, 160748653, 680941780, 2884516383, 12219006325, 51760543280, 219261176861, 928805254905, 3934482189716, 16666734024715, 70601418270865
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OFFSET
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0,3
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COMMENT
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Form the matrix A=[1,1,1,1;3,2,1,0;3,1,0,0;1,0,0,0]=(binomial(3-j,i)). Then a(n)=(2,3)-element of A^n.
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FORMULA
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G.f.: x(1+2x-x^2)/(1-3x-6x^2+3x^3+x^4); G.f.: x(1+2x-x^2)/((1+x-x^2)(1-4x-x^2)); a(n)=sum{k=0..n, (-1)^(k+1)Fib(k)(0^(n-k)+6*A001076(n-k)}.
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CROSSREFS
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Cf. A056570, A066258, A066259.
Sequence in context: A045499 A145932 A026661 this_sequence A011966 A017966 A002745
Adjacent sequences: A099011 A099012 A099013 this_sequence A099015 A099016 A099017
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KEYWORD
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easy,nonn
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Sep 22 2004
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