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A098600 Fib(n-1)+Fib(n+1)-(-1)^n. 6
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; text; internal format)
OFFSET

0,2

COMMENTS

Row sums of A098599.

LINKS

Table of n, a(n) for n=0..37.

Index to sequences with linear recurrences with constant coefficients, signature (0,2,1).

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, Dec 01 2004

CROSSREFS

Cf. A000045.

First differences of A014217 and A062724. Cf. A000032, A099925.

Sequence in context: A238517 A099926 A181716 * A147766 A034420 A028410

Adjacent sequences:  A098597 A098598 A098599 * A098601 A098602 A098603

KEYWORD

easy,nonn

AUTHOR

Paul Barry, Sep 17 2004

STATUS

approved

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Last modified July 24 15:58 EDT 2014. Contains 244896 sequences.