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A049853 a(n)=Sum{a(k): k=0,1,2,...,n-3,n-1}; a(n-2) is not a summand; 2 initial terms required. 4
1, 2, 2, 3, 6, 11, 19, 33, 58, 102, 179, 314, 551, 967, 1697, 2978, 5226, 9171, 16094, 28243, 49563, 86977, 152634, 267854, 470051, 824882, 1447567, 2540303, 4457921, 7823106, 13728594, 24092003, 42278518, 74193627 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 0..1000

FORMULA

a(n)=2*a(n-1)-a(n-2)+a(n-3); 3 initial terms required.

a(n)=a(n-1)+a(n-2)+a(n-4) for n>3. [Reinhard Zumkeller, Aug 06 2011]

PROG

(Haskell)

a049853 n = a049853_list !! n

a049853_list = 1 : 2 : 2 : 3 :

   zipWith (+) a049853_list

               (zipWith (+) (drop 2 a049853_list) (drop 3 a049853_list))

-- Reinhard Zumkeller, Aug 06 2011

CROSSREFS

Cf. A070550.

Sequence in context: A070550 A145778 A102762 * A162599 A064319 A064674

Adjacent sequences:  A049850 A049851 A049852 * A049854 A049855 A049856

KEYWORD

nonn

AUTHOR

Clark Kimberling (ck6(AT)evansville.edu)

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Last modified February 15 21:25 EST 2012. Contains 205858 sequences.