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!)
 A061462 The exact power of 2 that divides the n-th Bell number (A000110). Has period 12. 2
 1, 1, 2, 1, 1, 4, 1, 1, 4, 1, 1, 2, 1, 1, 2, 1, 1, 4, 1, 1, 4, 1, 1, 2, 1, 1, 2, 1, 1, 4, 1, 1, 4, 1, 1, 2, 1, 1, 2, 1, 1, 4, 1, 1, 4, 1, 1, 2, 1, 1, 2, 1, 1, 4, 1, 1, 4, 1, 1, 2, 1, 1, 2, 1, 1, 4, 1, 1, 4, 1, 1, 2, 1, 1, 2, 1, 1, 4, 1, 1, 4, 1, 1, 2, 1, 1, 2, 1, 1, 4, 1, 1, 4, 1, 1, 2, 1, 1, 2, 1, 1, 4, 1, 1, 4, 1, 1, 2 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS { Bell(n) mod 8 } is periodic with period 24, the period being (1 1 2 5 7 4 3 5 4 3 7 2 5 5 2 1 3 4 7 1 4 7 3 2). Hence the highest power of 2 dividing a Bell number is 4. - David W. Wilson, Jun 29 2001 LINKS Amiram Eldar, Table of n, a(n) for n = 0..10000 W. F. Lunnon et al., Arithmetic properties of Bell numbers to a composite modulus I, Acta Arith., 35 (1979), 1-16. Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,0,0,1). FORMULA a(n) = (1/396)*(43*(n mod 12) - 23*((n+1) mod 12) + 10*((n+2) mod 12) + 109*((n+3) mod 12) - 89*((n+4) mod 12) + 10*((n+5) mod 12) + 109*((n+6) mod 12) - 89*((n+7) mod 12) + 10*((n+8) mod 12) + 43*((n+9) mod 12) - 23*((n+10) mod 12) + 10*((n+11) mod 12)), with n >= 0. - Paolo P. Lava, Oct 22 2008 MATHEMATICA PadRight[{}, 120, {1, 1, 2, 1, 1, 4, 1, 1, 4, 1, 1, 2}] (* Harvey P. Dale, Sep 24 2017 *) PROG (PARI) a(n)=[1, 1, 2, 1, 1, 4, 1, 1, 4, 1, 1, 2][n%12+1] \\ Charles R Greathouse IV, Jul 13 2016 CROSSREFS Cf. A000110. Sequence in context: A327315 A141450 A209690 * A294334 A122578 A208648 Adjacent sequences:  A061459 A061460 A061461 * A061463 A061464 A061465 KEYWORD nonn,easy AUTHOR Ahmed Fares (ahmedfares(AT)my-deja.com), Jun 10 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 February 24 04:30 EST 2020. Contains 332197 sequences. (Running on oeis4.)