The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A002380 a(n) = 3^n reduced modulo 2^n. (Formerly M2235 N0887) 22
 0, 1, 1, 3, 1, 19, 25, 11, 161, 227, 681, 1019, 3057, 5075, 15225, 29291, 55105, 34243, 233801, 439259, 269201, 1856179, 3471385, 6219851, 1882337, 5647011, 50495465, 17268667, 186023729, 21200275, 63600825, 1264544299, 3793632897, 7085931395 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 COMMENTS n such that a(n+1)=3*a(n) is given by A065554. - Benoit Cloitre, Apr 21 2003 a(n) = (fractional part of (3/2)^n without the decimal point)/5^n = A204544(n) / 5^n. - Michel Lagneau, Jan 25 2012 REFERENCES D. H. Lehmer, Guide to Tables in the Theory of Numbers. Bulletin No. 105, National Research Council, Washington, DC, 1941, p. 82. S. S. Pillai, On Waring's problem, J. Indian Math. Soc., 2 (1936), 16-44. N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence). N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). LINKS Zak Seidov and Seiichi Manyama, Table of n, a(n) for n = 0..3322 (first 101 terms from Zak Seidov) Eric Weisstein's World of Mathematics, Fractional Part Eric Weisstein's World of Mathematics, Power Fractional Parts MAPLE a:=n->3^n mod(2^n): seq(a(n), n=0..33); # Zerinvary Lajos, Feb 15 2008 MATHEMATICA Table[ PowerMod[3, n, 2^n], {n, 0, 33}] (* Robert G. Wilson v, Dec 14 2006 *) Table[ 3^n - 2^n * Floor[ (3/2)^n ], {n, 0, 33} ] (* Fred Daniel Kline, Oct 12 2017 *) x[n_] := -(1/2) + (3/2)^n + ArcTan[Cot[(3/2)^n Pi]]/Pi; y[n_] := 3^n - 2^n * x[n]; Array[y, 33] (* Fred Daniel Kline, Dec 21 2017 *) PROG (PARI) concat([0], vector(55, n, lift(Mod(3, 2^n)^n))) \\ Joerg Arndt, Oct 14 2017 (Haskell) a002380 n = 3^n `mod` 2^n  -- Reinhard Zumkeller, Jul 11 2014 CROSSREFS Cf. A060692, A002379, A000079, A000244. Cf. k^n mod (k-1)^n: this sequence (k=3), A064629 (k=4), A138589 (k=5), A138649 (k=6), A139786 (k=7), A138973 (k=8), A139733 (k=9). Sequence in context: A147076 A027537 A192721 * A274075 A038455 A067802 Adjacent sequences:  A002377 A002378 A002379 * A002381 A002382 A002383 KEYWORD nonn,easy AUTHOR EXTENSIONS More terms from Jason Earls, Jul 29 2001 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
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified April 10 18:49 EDT 2021. Contains 342853 sequences. (Running on oeis4.)