This site is supported by donations to The OEIS Foundation.

 Annual appeal: Please make a donation to keep the OEIS running! Over 6000 articles have referenced us, often saying "we discovered this result with the help of the OEIS". Other ways to donate

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A017233 9*n + 6. 7
 6, 15, 24, 33, 42, 51, 60, 69, 78, 87, 96, 105, 114, 123, 132, 141, 150, 159, 168, 177, 186, 195, 204, 213, 222, 231, 240, 249, 258, 267, 276, 285, 294, 303, 312, 321, 330, 339, 348, 357, 366, 375, 384, 393, 402, 411, 420, 429, 438, 447, 456, 465, 474, 483 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS General form: (q*n-1)*q, cf. A017233 (q=3), A098502 (q=4). - Vladimir Joseph Stephan Orlovsky, Feb 16 2009 Numbers whose digital root is 6; that is, A010888(a(n)) = 6. (Ball essentially says that Iamblichus (circa 350) announced that a number equal to the sum of three integers 3n, 3n - 1, and 3n - 2 has 6 as what is now called the number's digital root.) - Rick L. Shepherd, Apr 01 2014 REFERENCES W. W. R. Ball, A Short Account of the History of Mathematics, Sterling Publishing Company, Inc., 2001 (Facsimile Edition) [orig. pub. 1912], pages 110-111. LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..5000 Tanya Khovanova, Recursive Sequences Luis Manuel Rivera, Integer sequences and k-commuting permutations, arXiv preprint arXiv:1406.3081, 2014 Index entries for linear recurrences with constant coefficients, signature (2,-1). MATHEMATICA Range[6, 1000, 9] (* Vladimir Joseph Stephan Orlovsky, May 28 2011 *) LinearRecurrence[{2, -1}, {6, 15}, 60] (* Harvey P. Dale, Feb 01 2014 *) PROG (MAGMA) [9*n+6: n in [0..60]]; // Vincenzo Librandi, Jul 24 2011 (PARI) a(n)=9*n+6 \\ Charles R Greathouse IV, Oct 07 2015 CROSSREFS Cf. A008591, A017209, A017221. Sequence in context: A043477 A055040 * A122709 A052220 A217747 A242405 Adjacent sequences:  A017230 A017231 A017232 * A017234 A017235 A017236 KEYWORD nonn,easy AUTHOR David J. Horn and Laura Krebs Gordon (lkg615(AT)verizon.net), 1985 STATUS approved

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