|
|
A159500
|
|
Numerator of Hermite(n, 7/13).
|
|
1
|
|
|
1, 14, -142, -11452, -16340, 15254344, 241175416, -27559353808, -956451987568, 61130164870880, 3765349254374176, -153905067702335936, -16154239475595889472, 398079601942332103808, 76554842682960987793280, -811944878829661686113536, -399500280706227471717519104
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,2
|
|
LINKS
|
|
|
FORMULA
|
a(n) = 13^n * Hermite(n,7/13).
E.g.f.: exp(14*x-169*x^2).
a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(14/31)^(n-2*k)/(k!*(n-2*k)!)). (End)
|
|
MATHEMATICA
|
|
|
PROG
|
(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(14/13)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jun 12 2018
|
|
CROSSREFS
|
|
|
KEYWORD
|
sign,frac
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|