|
|
A284865
|
|
Alternating row sums of the Sheffer triangle S2[3,2] given by A225466.
|
|
2
|
|
|
1, -1, -8, -1, 217, 1196, -3725, -115777, -803150, 3402485, 145172737, 1528780238, -1328359499, -320347469485, -5507171702648, -28294413916213, 915647446089037, 28738067698188692, 369693788462739487, -1233559476327263869
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,3
|
|
COMMENTS
|
This is a generalization of sequence A000587 because S2[3,2] = A225466 is a generalization of the Stirling2 triangle A048993.
|
|
LINKS
|
|
|
FORMULA
|
a(n) = Sum_{k=0..n} (-1)^k*(A225466(n, k), n >= 0.
E.g.f.: exp(2*x)*exp((1 - exp(3*x))) (Sheffer property).
a(n) = (1/e)*SUm_{m>=0} ((-1)^m / m!)*(2+3*m)^n, n >= 0, (Dobiński type formula).
|
|
CROSSREFS
|
|
|
KEYWORD
|
sign,easy
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|