|
|
A159516
|
|
Numerator of Hermite(n, 7/15).
|
|
2
|
|
|
1, 14, -254, -16156, 116716, 30714824, 167396536, -80586473296, -1655509714544, 266934167861984, 10441892693970976, -1055017257663334336, -66457610442443011904, 4766686645187803247744, 455510634120920865106816, -23652976986990268349291776
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,2
|
|
LINKS
|
|
|
FORMULA
|
a(n) = 15^n * Hermite(n,7/15).
E.g.f.: exp(14*x-225*x^2).
a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(14/15)^(n-2*k)/(k!*(n-2*k)!)). (End)
|
|
MATHEMATICA
|
|
|
PROG
|
(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(14/15)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jun 11 2018
|
|
CROSSREFS
|
|
|
KEYWORD
|
sign,frac
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|