OFFSET
0,2
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..1000
H. W. Gould, Binomial coefficients, the bracket function and compositions with relatively prime summands, Fib. Quart. 2, issue 4, (1964), 241-260.
Problems Drive, Eureka, 37 (1974), 8-11, 32-33, 24-27. (Annotated scanned copy)
Index entries for linear recurrences with constant coefficients, signature (-6,-15,-20,-15,-6).
FORMULA
G.f.: 1/((1+x)^6-x^6).
a(n) = (-1)^n * Sum_{k=0..floor(n/6)} binomial(n+5,6*k+5). - Seiichi Manyama, Aug 05 2024
MATHEMATICA
CoefficientList[Series[1/((1+x)^6-x^6), {x, 0, 30}], x] (* or *) LinearRecurrence[ {-6, -15, -20, -15, -6}, {1, -6, 21, -56, 126}, 31] (* Harvey P. Dale, Oct 14 2016 *)
PROG
(PARI) x='x+O('x^50); Vec(1/((1+x)^6-x^6)) \\ G. C. Greubel, Jul 02 2017
CROSSREFS
KEYWORD
sign
AUTHOR
STATUS
approved