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A288838
a(n) = (1/4!)*3^(n+2)*(n+7)*(n+2)*(n+1)*(n).
3
54, 729, 6075, 40095, 229635, 1194102, 5786802, 26572050, 116917020, 496897335, 2051893701, 8269753401, 32643763425, 126557359740, 482984209620, 1817776934388, 6757388169138, 24843338857125, 90429753439935, 326206114635555, 1167092987918319, 4144371018322194
OFFSET
1,1
FORMULA
O.g.f.: z*3^3*(2-3*z)/(1-3*z)^5.
a(n) = A287768(n+7,9).
MATHEMATICA
Table[1/4! 3^(n+2) (n+7)(n+2)(n+1)n, {n, 30}] (* or *) LinearRecurrence[{15, -90, 270, -405, 243}, {54, 729, 6075, 40095, 229635}, 30] (* Harvey P. Dale, May 15 2022 *)
PROG
(PARI) a(n)=3^n*3*n*(n+1)*(n+2)*(n+7)/8 \\ Charles R Greathouse IV, Jun 19 2017
CROSSREFS
Column k=9 of A287768.
Sequence in context: A090835 A069980 A139178 * A157094 A232829 A368539
KEYWORD
nonn,easy
AUTHOR
STATUS
approved