|
Search: id:A135518
|
|
|
| A135518 |
|
Generalized repunits in base 15. |
|
+0
2
|
|
| 1, 16, 241, 3616, 54241, 813616, 12204241, 183063616, 2745954241, 41189313616, 617839704241, 9267595563616, 139013933454241, 2085209001813616, 31278135027204241, 469172025408063616, 7037580381120954241
(list; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
COMMENT
|
Primes in this sequence are given in A006033.
|
|
FORMULA
|
a(n) = (15^n-1)/14
a(n)=15*a(n-1)+1 (with a(1)=1) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Oct 29 2009] - Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Oct 29 2009
|
|
EXAMPLE
|
a(4) = 15^3+15^2+15^1+1 = 3375+225+15+1 = 3616
For n=2, a(2)=15*1+1=16; n=3, a(3)=15*16+1=241; n=4, a(4)=15*241+1=3616 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Oct 29 2009]
|
|
PROGRAM
|
(Other) sage: [gaussian_binomial(n, 1, 15) for n in xrange(1, 15)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 28 2009]
|
|
CROSSREFS
|
Cf. A000225, A003462, A002450, A003463, A003464, A023000, A023001, A002452, A016123, A016125.
Sequence in context: A063814 A058667 A005619 this_sequence A064232 A074153 A119933
Adjacent sequences: A135515 A135516 A135517 this_sequence A135519 A135520 A135521
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Julien Peter Benney (jpbenney(AT)gmail.com), Feb 19 2008
|
|
EXTENSIONS
|
More terms from Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Oct 29 2009
|
|
|
Search completed in 0.002 seconds
|
