|
|
A159247
|
|
Numerator of Hermite(n, 1/10).
|
|
4
|
|
|
1, 1, -49, -149, 7201, 37001, -1763249, -12863549, 604273601, 5749693201, -266173427249, -3141020027749, 143254364959201, 2027866381608601, -91087470841872049, -1510593937967892749, 66805009193436144001, 1275280159567750343201
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,3
|
|
LINKS
|
|
|
FORMULA
|
a(n) = 5^n * Hermite(n,1/10).
E.g.f.: exp(x-25*x^2).
a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(1/5)^(n-2*k)/(k!*(n-2*k)!)). (End)
|
|
MATHEMATICA
|
|
|
PROG
|
(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(1/5)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jun 10 2018
|
|
CROSSREFS
|
|
|
KEYWORD
|
sign,frac
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|