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A084081 Sum of lists created by n substitutions k -> Range[k+1,0,-2] starting with {0}, counting down from k+1 to 0 step -2. 2

%I

%S 0,1,2,5,10,24,50,121,260,637,1400,3468,7752,19380,43890,110561,

%T 253000,641355,1480050,3771885,8765250,22439040,52451256,134796060,

%U 316663760,816540124,1926501200,4982228488,11798983280,30593078076,72690164850

%N Sum of lists created by n substitutions k -> Range[k+1,0,-2] starting with {0}, counting down from k+1 to 0 step -2.

%C Lengths of lists is A047749.

%F Equals A093951(n)-A047749(n).

%e lists {0}, {1}, {2, 0}, {3, 1, 1}, {4, 2, 0, 2, 0, 2, 0}

%e sum to 0, 1, 2, 5, 10

%t Plus@@@Flatten/@NestList[ # /. k_Integer :> Range[k+1, 0, -2]&, {0}, 8]

%Y Cf. A047749.

%Y Cf. A093951, A047749.

%K nonn

%O 0,3

%A _Wouter Meeussen_, May 11 2003

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Last modified August 20 07:48 EDT 2019. Contains 326143 sequences. (Running on oeis4.)