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A100775
a(n) = 97*n + 101.
4
101, 198, 295, 392, 489, 586, 683, 780, 877, 974, 1071, 1168, 1265, 1362, 1459, 1556, 1653, 1750, 1847, 1944, 2041, 2138, 2235, 2332, 2429, 2526, 2623, 2720, 2817, 2914, 3011, 3108, 3205, 3302, 3399, 3496, 3593, 3690, 3787, 3884, 3981, 4078, 4175, 4272
OFFSET
0,1
COMMENTS
Note that 97 is the largest two-digit prime and 101 is the smallest three-digit prime.
FORMULA
a(n) = 2*a(n-1) - a(n-2); a(0)=101, a(1)=198. - Harvey P. Dale, Nov 26 2013
G.f.: (101-4*x)/(x-1)^2. - Harvey P. Dale, Nov 26 2013
EXAMPLE
If n=1, then 97*1 + 101 = 198.
MATHEMATICA
97*Range[0, 50]+101 (* or *) LinearRecurrence[{2, -1}, {101, 198}, 50] (* Harvey P. Dale, Nov 26 2013 *)
PROG
(Magma) [97*n + 101: n in [0..50]]; // Vincenzo Librandi, Jul 14 2011
(PARI) a(n)=97*n+101 \\ Charles R Greathouse IV, Oct 16 2015
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Parthasarathy Nambi, Jan 03 2005
EXTENSIONS
More terms from C. Ronaldo (aga_new_ac(AT)hotmail.com), Jan 19 2005
Edited by Ray Chandler, Jan 25 2005
STATUS
approved