OFFSET
0,3
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (8,-28,56,-70,56,-28,8,-1).
FORMULA
G.f.: x*(1+57*x+603*x^2+1198*x^3+603*x^4+57*x^5+x^6)/(1-x)^8. - Vincenzo Librandi, Dec 10 2014
E.g.f.: (x/2)*(2 +63*x +301*x^2 +350*x^3 +140*x^4 +21*x^5 +x^6)*exp(x). - G. C. Greubel, Jan 12 2023
MATHEMATICA
CoefficientList[Series[x(1 +57x +603x^2 +1198x^3 +603x^4 +57x^5 +x^6)/ (1-x)^8, {x, 0, 50}], x] (* Vincenzo Librandi, Dec 10 2014 *)
LinearRecurrence[{8, -28, 56, -70, 56, -28, 8, -1}, {0, 1, 65, 1095, 8194, 39065, 139971, 411775}, 41] (* Harvey P. Dale, Jan 24 2019 *)
PROG
(Magma) [n*(n^6+1)/2: n in [0..40]]; // Vincenzo Librandi, Dec 10 2014
(SageMath) [n*(n^6+1)/2 for n in range(41)] # G. C. Greubel, Jan 12 2023
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, Dec 11 2009
EXTENSIONS
More terms from Vincenzo Librandi, Dec 10 2014
STATUS
approved