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A323339 Numerator of the sum of inverse products of parts in all compositions of n. 6
1, 1, 3, 7, 11, 347, 3289, 1011, 38371, 136553, 4320019, 12528587, 40771123, 29346499543, 129990006917, 1927874590951, 903657004321, 437445829053473, 12456509813711881, 187206004658210129, 1974369484466728177, 1967745662306280217, 21401375717067880189 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..466

EXAMPLE

1/1, 1/1, 3/2, 7/3, 11/3, 347/60, 3289/360, 1011/70, 38371/1680, 136553/3780, 4320019/75600, 12528587/138600, 40771123/285120, ... = A323339/A323340

MAPLE

b:= proc(n) option remember;

     `if`(n=0, 1, add(b(n-j)/j, j=1..n))

    end:

a:= n-> numer(b(n)):

seq(a(n), n=0..25);

CROSSREFS

Denominators: A323340.

Cf. A011782, A177208, A177209, A322364, A322365, A322380, A322381, A323290, A323291.

Sequence in context: A082599 A123259 A116605 * A057992 A082600 A256563

Adjacent sequences:  A323336 A323337 A323338 * A323340 A323341 A323342

KEYWORD

nonn,frac

AUTHOR

Alois P. Heinz, Jan 11 2019

STATUS

approved

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Last modified April 24 10:39 EDT 2019. Contains 322424 sequences. (Running on oeis4.)