login
A024214
a(n) = 4th elementary symmetric function of first n+3 positive integers congruent to 1 mod 3.
5
280, 5714, 45474, 227969, 859369, 2662569, 7141953, 17147823, 37702863, 77161513, 148781633, 272796342, 479082422, 810530182, 1327228182, 2111584722, 3274516506, 4962843396, 7368036676, 10736476751, 15381384711, 21696600695
OFFSET
1,1
LINKS
Index entries for linear recurrences with constant coefficients, signature (9,-36,84,-126,126,-84,36,-9,1).
FORMULA
a(n) = n*(n+1)*(n+2)*(n+3)*(405*n^4+3510*n^3+9855*n^2+8814*n-184)/1920.
G.f. -x*(280+3194*x+4128*x^2+887*x^3+16*x^4) / (x-1)^9 . - R. J. Mathar, Oct 08 2011
PROG
(Magma) [n*(n+1)*(n+2)*(n+3)*(405*n^4+3510*n^3+9855*n^2+8814*n-184)/1920: n in [1..30]]; // Vincenzo Librandi, Oct 10 2011
CROSSREFS
Sequence in context: A327948 A187384 A297724 * A357248 A094895 A223107
KEYWORD
nonn,easy
STATUS
approved