OFFSET
0,3
COMMENTS
Inverse binomial transform of A006906.
FORMULA
a(n) = Sum_{k=0..n} (-1)^(n-k)*binomial(n,k)*A006906(k).
MAPLE
a:=series((1/(1+x))*mul(1/(1-k*x^k/(1+x)^k), k=1..100), x=0, 32): seq(coeff(a, x, n), n=0..31); # Paolo P. Lava, Apr 03 2019
MATHEMATICA
nmax = 31; CoefficientList[Series[1/(1 + x) Product[1/(1 - k x^k/(1 + x)^k), {k, 1, nmax}], {x, 0, nmax}], x]
Table[Sum[(-1)^(n - k) Binomial[n, k] Total[Times @@@ IntegerPartitions[k]], {k, 0, n}], {n, 0, 31}]
CROSSREFS
KEYWORD
sign
AUTHOR
Ilya Gutkovskiy, Apr 01 2019
STATUS
approved