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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
0, 1, 2, 5, 10, 24, 50, 121, 260, 637, 1400, 3468, 7752, 19380, 43890, 110561, 253000, 641355, 1480050, 3771885, 8765250, 22439040, 52451256, 134796060, 316663760, 816540124, 1926501200, 4982228488, 11798983280, 30593078076, 72690164850 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Lengths of lists is A047749.

LINKS

Table of n, a(n) for n=0..30.

FORMULA

Equals A093951(n)-A047749(n).

EXAMPLE

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

sum to 0, 1, 2, 5, 10

MATHEMATICA

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

CROSSREFS

Cf. A047749.

Cf. A093951, A047749.

Sequence in context: A291247 A316697 A032170 * A106376 A151514 A321007

Adjacent sequences:  A084078 A084079 A084080 * A084082 A084083 A084084

KEYWORD

nonn

AUTHOR

Wouter Meeussen, May 11 2003

STATUS

approved

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Last modified July 17 14:44 EDT 2019. Contains 325106 sequences. (Running on oeis4.)