OFFSET
0,2
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..500
Index entries for linear recurrences with constant coefficients, signature (50,-49).
FORMULA
sqrt((a(n)^2 - (a(n)-1)^2)) = 7^n.
a(n) = 50*a(n-1) - 49*a(n-2).
a(n) = (1/2)*(1 + 49^n).
G.f.: (1-25*x)/(1-10*x+49*x^2). - Harvey P. Dale, Dec 31 2011
E.g.f.: (1/2)*(exp(x) + exp(49*x)). - G. C. Greubel, Dec 28 2022
MATHEMATICA
LinearRecurrence[{50, -49}, {1, 25}, 21] (* Harvey P. Dale, Dec 31 2011 *)
PROG
(Magma) [(1+(49)^n)/2: n in [0..20]]; // G. C. Greubel, Dec 28 2022
(SageMath) [(1+(49)^n)/2 for n in range(21)] # G. C. Greubel, Dec 28 2022
CROSSREFS
KEYWORD
nonn
AUTHOR
Gary W. Adamson, Jun 28 2006
EXTENSIONS
More terms from Harvey P. Dale, Dec 31 2011
STATUS
approved