OFFSET
0,3
COMMENTS
Inverse binomial transform of A091000.
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (-1,6).
FORMULA
a(n) = (2^n + 4*(-3)^n + 5*0^n)/10.
E.g.f.: (exp(2*x) + 4*exp(-3*x) + 5)/10. - G. C. Greubel, Feb 01 2019
MATHEMATICA
CoefficientList[Series[(1-3x^2)/((1-2x)(1+3x)), {x, 0, 30}], x] (* Harvey P. Dale, Dec 23 2014 *)
Join[{1}, LinearRecurrence[{-1, 6}, {-1, 4}, 30]] (* G. C. Greubel, Feb 01 2019 *)
PROG
(PARI) vector(30, n, n--; (2^n + 4*(-3)^n + 5*0^n)/10) \\ G. C. Greubel, Feb 01 2019
(Magma) [1] cat [(2^n + 4*(-3)^n)/10: n in [1..30]]; // G. C. Greubel, Feb 01 2019
(Sage) [1] + [(2^n + 4*(-3)^n)/10 for n in (1..30)] # G. C. Greubel, Feb 01 2019
(GAP) Concatenation([1], List([1..30], n -> (2^n + 4*(-3)^n)/10)) # G. C. Greubel, Feb 01 2019
CROSSREFS
KEYWORD
easy,sign
AUTHOR
Paul Barry, Dec 13 2003
STATUS
approved