|
|
A215628
|
|
Number of terms in 10th derivative of a function composed with itself n times.
|
|
2
|
|
|
1, 42, 345, 1597, 5436, 15217, 37148, 81901, 166819, 318857, 578413, 1004224, 1679522, 2719666, 4281488, 6574614, 9875045, 14541308, 21033513, 29935679, 41981720, 58085511, 79375484, 107234235, 143343655, 189736131, 248852397, 323606650, 417459582, 534500016
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,2
|
|
LINKS
|
|
|
FORMULA
|
G.f.: -(4*x^7-34*x^6+110*x^5-161*x^4+83*x^3+30*x^2-32*x-1)*x/(x-1)^10.
a(n) = n*(n+1)*(n^7 +98*n^6 +3148*n^5 +40826*n^4 +203887*n^3 +209204*n^2 -412380*n +136656) / 362880.
|
|
MAPLE
|
a:= n-> n*(n+1)*(136656+(-412380+(209204+(203887+(40826+(3148+(98+n)*
n)*n)*n)*n)*n)*n)/362880:
seq(a(n), n=1..40);
|
|
MATHEMATICA
|
CoefficientList[Series[-(4*x^7 - 34*x^6 + 110*x^5 - 161*x^4 + 83*x^3 + 30*x^2 - 32*x - 1)/(x - 1)^10, {x, 0, 30}], x] (* Wesley Ivan Hurt, Jan 27 2017 *)
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|