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A199683
3*10^n+1.
4
4, 31, 301, 3001, 30001, 300001, 3000001, 30000001, 300000001, 3000000001, 30000000001, 300000000001, 3000000000001, 30000000000001, 300000000000001, 3000000000000001, 30000000000000001, 300000000000000001, 3000000000000000001
OFFSET
0,1
LINKS
S. W. Golomb, Properties of the sequence 3.2^n+1, Math. Comp., 30 (1976), 657-663.
S. W. Golomb, Properties of the sequence 3.2^n+1, Math. Comp., 30 (1976), 657-663. [Annotated scanned copy]
FORMULA
a(n) = 10*a(n-1)-9.
a(n) = 11*a(n-1)-10*a(n-2).
G.f.: (4-13*x)/((1-x)*(1-10*x)).
MATHEMATICA
3*10^Range[0, 20]+1 (* or *) LinearRecurrence[{11, -10}, {4, 31}, 20] (* Harvey P. Dale, Dec 12 2016 *)
PROG
(Magma) [3*10^n+1: n in [0..30]];
CROSSREFS
Primes: A056807, A259866.
Sequence in context: A307504 A371362 A276316 * A375434 A114475 A243312
KEYWORD
nonn,easy
AUTHOR
Vincenzo Librandi, Nov 09 2011
STATUS
approved