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4, 8, 19, 48, 124, 323, 844, 2208, 5779, 15128, 39604, 103683, 271444, 710648, 1860499, 4870848, 12752044, 33385283, 87403804, 228826128, 599074579, 1568397608, 4106118244, 10749957123, 28143753124, 73681302248, 192900153619
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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LINKS
| Harry J. Smith, Table of n, a(n) for n=1,...,200
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FORMULA
| F(2n+1)+F(2n-1)+1.
a(n)=4*a(n-1)-4*a(n-2)+a(n-3). G.f.: -x*(3*x-2)*(x-2)/((x-1)*(x^2-3*x+1)). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 18 2009]
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MATHEMATICA
| LucasL[2Range[30]]+1 (* From Harvey P. Dale, Oct 21 2011 *)
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PROG
| (PARI) { for (n=1, 200, a=fibonacci(2*n + 1) + fibonacci(2*n - 1) + 1; write("b065034.txt", n, " ", a) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Oct 03 2009]
(MAGMA) [ Lucas(2*n) + 1: n in [1..210]]; // Vincenzo Librandi, Apr 15 2011
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CROSSREFS
| Cf. A000045, A005592.
Cf. A002878 (first differences). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 18 2009]
Sequence in context: A163318 A129362 A083579 * A178447 A006580 A061814
Adjacent sequences: A065031 A065032 A065033 * A065035 A065036 A065037
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Nov 04 2001
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