OFFSET
0,2
COMMENTS
Partial sums of A034266. - Vladimir Joseph Stephan Orlovsky, Jun 25 2009
REFERENCES
A. H. Beiler, Recreations in the Theory of Numbers, Dover, N.Y., 1964, pp. 194-196.
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (10,-45,120,-210,252,-210,120,-45,10,-1)
FORMULA
a(n) = (7n+9)*C(n+8, 8)/9.
G.f.: (1+6x)/(1-x)^10.
MATHEMATICA
CoefficientList[Series[(1 + 6 x)/(1 - x)^10, {x, 0, 50}], x] (* Vincenzo Librandi, Jul 30 2014 *)
LinearRecurrence[{10, -45, 120, -210, 252, -210, 120, -45, 10, -1}, {1, 16, 115, 550, 2035, 6292, 17017, 41470, 92950, 194480}, 30] (* Harvey P. Dale, Sep 07 2022 *)
PROG
(Magma) [((7*n+9)*Binomial(n+8, 8))/9: n in [0..40]]; // Vincenzo Librandi, Jul 30 2014
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Barry E. Williams, Jun 04 2000
STATUS
approved