This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A061462 #28 Dec 14 2023 05:14:08 %S A061462 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, %T A061462 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, %U A061462 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 %N A061462 The exact power of 2 that divides the n-th Bell number (A000110). Has period 12. %C A061462 { 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 %H A061462 Amiram Eldar, <a href="/A061462/b061462.txt">Table of n, a(n) for n = 0..10000</a> %H A061462 W. F. Lunnon et al., <a href="http://matwbn.icm.edu.pl/ksiazki/aa/aa35/aa3511.pdf">Arithmetic properties of Bell numbers to a composite modulus I</a>, Acta Arith., 35 (1979), 1-16. %H A061462 <a href="/index/Rec#order_12">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,0,0,0,0,0,0,1). %t A061462 PadRight[{},120,{1,1,2,1,1,4,1,1,4,1,1,2}] (* _Harvey P. Dale_, Sep 24 2017 *) %o A061462 (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 %Y A061462 Cf. A000110. %K A061462 nonn,easy %O A061462 0,3 %A A061462 Ahmed Fares (ahmedfares(AT)my-deja.com), Jun 10 2001