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A098600
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Fib(n-1)+Fib(n+1)-(-1)^n.
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6
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1, 2, 2, 5, 6, 12, 17, 30, 46, 77, 122, 200, 321, 522, 842, 1365, 2206, 3572, 5777, 9350, 15126, 24477, 39602, 64080, 103681, 167762, 271442, 439205, 710646, 1149852, 1860497, 3010350, 4870846, 7881197, 12752042, 20633240, 33385281, 54018522
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Row sums of A098599.
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LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (0,2,1).
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FORMULA
| G.f.: (1+2x)/((1+x)(1-x-x^2)); a(n)=sum{k=0..n, binomial(k, n-k)+binomial(k-1, n-k-1)}.
a(n) = A020878(n) - 1 = A001350(n) + 1.
a(n)=Lucas(n)-(-1)^n. - Paul Barry (pbarry(AT)wit.ie), Dec 01 2004
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CROSSREFS
| Cf. A000045.
First differences of A014217 and A062724. Cf. A000032, A099925.
Sequence in context: A007988 A099926 A181716 * A147766 A034420 A028410
Adjacent sequences: A098597 A098598 A098599 * A098601 A098602 A098603
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KEYWORD
| easy,nonn
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Sep 17 2004
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