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A094188 Number of levels in the compositions of n with odd summands. 0
1, 0, 3, 2, 8, 10, 23, 36, 69, 116, 208, 356, 621, 1064, 1831, 3126, 5336, 9070, 15395, 26060, 44041, 74280, 125088, 210312, 353113, 592080, 991563, 1658666, 2771624, 4626706, 7716143, 12857076, 21405261, 35608604, 59192176, 98325356 (list; graph; refs; listen; history; internal format)
OFFSET

2,3

LINKS

S. Heubach and T. Mansour, Counting rises, levels and drops in compositions

FORMULA

G.f.: [x^2(1-x^2)]/[(1+x)^2(1-x-x^2)^2].

(1/5) * [3nF(n)-4nF(n-1)+7F(n)-10F(n-1)+10(-1)^n], F(n)=A000045(n).

CROSSREFS

Sequence in context: A060921 A163356 A095013 * A088551 A165660 A171634

Adjacent sequences:  A094185 A094186 A094187 * A094189 A094190 A094191

KEYWORD

nonn

AUTHOR

Ralf Stephan, May 25 2004

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Last modified February 17 19:06 EST 2012. Contains 206083 sequences.