OFFSET
0,1
REFERENCES
C. Lanczos, Applied Analysis. Prentice-Hall, Englewood Cliffs, NJ, 1956, p. 518.
Theodore J. Rivlin, Chebyshev polynomials: from approximation theory to algebra and number theory, 2. ed., Wiley, New York, 1990.
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (28, -336, 2240, -8960, 21504, -28672, 16384).
FORMULA
a(n) = 4^n*binomial(2*n+7, 6) = A053125(n+6, 6).
G.f.: (7 +140*x +336*x^2 +64*x^3)/(1-4*x)^7.
MATHEMATICA
Table[4^n*Binomial[2*n+7, 6], {n, 0, 20}] (* G. C. Greubel, Jul 22 2019 *)
PROG
(PARI) vector(20, n, n--; 4^n*binomial(2*n+7, 6)) \\ G. C. Greubel, Jul 22 2019
(Magma) [4^n*Binomial(2*n+7, 6): n in [0..20]]; // G. C. Greubel, Jul 22 2019
(Sage) [4^n*binomial(2*n+7, 6) for n in (0..20)] # G. C. Greubel, Jul 22 2019
(GAP) List([0..20], n-> 4^n*Binomial(2*n+7, 6)); # G. C. Greubel, Jul 22 2019
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved