|
|
A308461
|
|
Expansion of e.g.f. exp(x + 2 * Sum_{k>=2} x^(2^k)/2^k).
|
|
0
|
|
|
1, 1, 1, 1, 13, 61, 181, 421, 15961, 137593, 682921, 2498761, 77344741, 927575221, 6402167773, 31881065581, 4104839160241, 68050288734961, 609856397747281, 3857727706737553, 222655237411428541, 4351842324095032621, 47276537013742616581, 361153046139022585141
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,5
|
|
LINKS
|
|
|
FORMULA
|
E.g.f.: Product_{k>=1} (1 + (-x)^k)^((-1)^k*mu(k)/k).
E.g.f.: exp(-x*(1 + x))*g(x)^2, where g(x) = e.g.f. of A005388.
|
|
MATHEMATICA
|
nmax = 23; CoefficientList[Series[Exp[x + 2 Sum[x^(2^k)/2^k, {k, 2, nmax}]], {x, 0, nmax}], x] Range[0, nmax]!
nmax = 23; CoefficientList[Series[Product[(1 + (-x)^k)^((-1)^k MoebiusMu[k]/k), {k, 1, nmax}], {x, 0, nmax}], x] Range[0, nmax]!
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|