|
|
A086951
|
|
a(n) = n*3^n*(4*n - 1)/9.
|
|
2
|
|
|
0, 1, 14, 99, 540, 2565, 11178, 45927, 180792, 688905, 2558790, 9310059, 33303636, 117448461, 409209570, 1410975855, 4821232752, 16343405073, 55013709438, 184024732275, 612124372620, 2025821736981, 6673705343514, 21893519253879, 71548815908520, 233004367596825
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,3
|
|
LINKS
|
|
|
FORMULA
|
G.f.: x*(1 + 5*x)/(1 - 3*x)^3.
|
|
MATHEMATICA
|
LinearRecurrence[{9, -27, 27}, {0, 1, 14}, 30] (* Harvey P. Dale, Apr 10 2023 *)
|
|
CROSSREFS
|
Binomial transform of A086950. Second binomial transform of decagonal numbers A001107. Binomial transform is A086952.
|
|
KEYWORD
|
easy,nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|