login
This site is supported by donations to The OEIS Foundation.
Logo

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A130652 11^n - 2. 3
9, 119, 1329, 14639, 161049, 1771559, 19487169, 214358879, 2357947689, 25937424599, 285311670609, 3138428376719, 34522712143929, 379749833583239, 4177248169415649, 45949729863572159, 505447028499293769 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

There are only two known primes in a(n): a(4) = 14639 and a(6) = 1771559 (see A128472 = smallest prime of the form (2n-1)^k - 2 for k>(2n-1), or 0 if no such number exists. 3 divides a(2k-1). 7 divides a(3k-1). 13 divides a(12k-5). 17 divides a(16k-14). Final digit of a(n) is 9. Final two digits of a(n) are periodic with period 10. Mod[a(n), 100] = {09, 19, 29, 39, 49, 59, 69, 79, 89, 99}. Final three digits of a(n) are periodic with period 50. Mod[a(n), 1000] = {009, 119, 329, 639, 049, 559, 169, 879, 689, 599, 609, 719, 929, 239, 649, 159, 769, 479, 289, 199, 209, 319, 529, 839, 249, 759, 369, 079, 889, 799, 809, 919, 129, 439, 849, 359, 969, 679, 489, 399, 409, 519, 729, 039, 449, 959, 569, 279, 089, 999}.

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..300

FORMULA

a(1)=9, a(n) = 11*a(n-1) + 20. [From Vincenzo Librandi, Jun 08 2011]

PROG

(MAGMA) [11^n - 2: n in [1..50]]; // Vincenzo Librandi, Jun 08 2011

CROSSREFS

Cf. A001020, A024127, A034524. Cf. A104096 = Largest prime <= 11^n. Cf. A084714 = smallest prime of the form (2n-1)^k - 2, or 0 if no such number exists. Cf. A128472 = smallest prime of the form (2n-1)^k - 2 for k>(2n-1), or 0 if no such number exists. Cf. A014224, A109080, A090669, A128455, A128457, A128458, A128459, A128460, A128461.

Sequence in context: A166823 A087984 A197544 * A054051 A159660 A061172

Adjacent sequences:  A130649 A130650 A130651 * A130653 A130654 A130655

KEYWORD

nonn

AUTHOR

Alexander Adamchuk (alex(AT)kolmogorov.com), Jun 20 2007

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Puzzles | Hot | Classics
Recent Additions | More pages | Superseeker | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement .

Last modified February 17 06:13 EST 2012. Contains 205991 sequences.