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Search: id:A099623
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| A099623 |
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Sum C(n-k,k+2)2^(n-k-2)(3/2)^k, k=0..floor(n/2). |
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+0
3
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| 0, 0, 1, 6, 27, 104, 369, 1242, 4039, 12828, 40077, 123758, 379011, 1153872, 3498025, 10572354, 31884543, 96010436, 288788613, 867967830, 2607282235, 7828953720, 23501774241, 70536546986, 211674885687, 635160738924, 1905765565309
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OFFSET
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0,4
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COMMENT
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In general a(n)=sum{k=0..floor(n/2), C(n-k,k+2)u^(n-k-2)(v/u)^k has g.f. x^2/((1-u*x)^2(1-u*x-v*x^2)) and satisfies the recurrence a(n)=3u*a(n-1)-(3u^2-v)a(n-2)+(u^3-2uv)a(n-3)+u^2^v*a(n-4).
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FORMULA
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G.f.: x^2/((1-2x)^2(1-2x-3x^2)); a(n)=6a(n-1)-9a(n-2)-4a(n-3)+12a(n-4).
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CROSSREFS
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Sequence in context: A054457 A000395 A005325 this_sequence A119852 A027471 A037695
Adjacent sequences: A099620 A099621 A099622 this_sequence A099624 A099625 A099626
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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), Oct 25 2004
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