|
|
A159512
|
|
Numerator of Hermite(n, 13/14).
|
|
2
|
|
|
1, 13, 71, -1625, -41999, 91013, 21762679, 229399183, -11947008415, -335160068867, 6180180526759, 408799214337527, -1347844821458351, -498269858739890315, -4760353861080634921, 621741645997081258207, 15080361573750589690561
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,2
|
|
LINKS
|
|
|
FORMULA
|
a(n) = 7^n * Hermite(n,13/14).
E.g.f.: exp(13*x-49*x^2).
a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(13/7)^(n-2*k)/(k!*(n-2*k)!)). (End)
|
|
MATHEMATICA
|
|
|
PROG
|
(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(13/7)^(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
|
|
|
|