|
|
A011877
|
|
a(n) = floor(n*(n-1)/24).
|
|
0
|
|
|
0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 3, 4, 5, 6, 7, 8, 10, 11, 12, 14, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 36, 38, 41, 44, 46, 49, 52, 55, 58, 61, 65, 68, 71, 75, 78, 82, 86, 90, 94, 98, 102, 106, 110, 114, 119, 123, 128, 133, 137, 142, 147, 152, 157, 162, 168, 173, 178, 184, 189
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,9
|
|
LINKS
|
Index entries for linear recurrences with constant coefficients, signature (2, -1, 1, -2, 1, -1, 2, -1, 1, -2, 1, -1, 2, -1, 1, -2, 1, -1, 2, -1, 1, -2, 1)
|
|
FORMULA
|
a(n) = +2*a(n-1) -a(n-2) +a(n-3) -2*a(n-4) +a(n-5) -a(n-6) +2*a(n-7) -a(n-8) +a(n-9) -2*a(n-10) +a(n-11) -a(n-12) +2*a(n-13) -a(n-14) +a(n-15) -2*a(n-16) +a(n-17) -a(n-18) +2*a(n-19) -a(n-20) +a(n-21) -2*a(n-22) +a(n-23). G.f.: x^6*(1-x+x^2-x^3+x^6-x^9+x^10-x^11+x^12) / ((1-x)^3*(1+x+x^2)*(x^2+1)*(x^4+1)*(x^4-x^2+1)*(x^8-x^4+1) ). [From R. J. Mathar, Apr 15 2010]
|
|
MATHEMATICA
|
CoefficientList[Series[x^6*(1-x+x^2-x^3+x^6-x^9+x^10-x^11+x^12) / ((1-x)^3 *
(1+x+x^2) * (x^2+1) * (x^4+1) * (x^4-x^2+1) * (x^8-x^4+1)), {x, 0, 200}], x] (* Georg Fischer, Sep 28 2022 *)
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|