|
|
A159761
|
|
Numerator of Hermite(n, 11/21).
|
|
1
|
|
|
1, 22, -398, -47564, 6700, 167953192, 3665423224, -808168981136, -40410040569968, 4813419438356320, 426670129688245024, -33067616593161351872, -4867041163284902964032, 242912748429751883004544, 61149574443679238811690880, -1654195979849632997482909952
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,2
|
|
LINKS
|
|
|
FORMULA
|
a(n) = 21^n * Hermite(n,11/21).
E.g.f.: exp(22*x-441*x^2).
a(n) = Sum_{k=0..floor(n/2)} (-1)^k*n!*(22/21)^(n-2k)/(k!*(n-2k)!).
a(n+2) = 22*a(n+1) - 882*(n+1)*a(n). (End)
|
|
MATHEMATICA
|
|
|
PROG
|
(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(22/21)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, May 21 2018
|
|
CROSSREFS
|
|
|
KEYWORD
|
sign,frac
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|