A155730 Indices of Bell numbers that are divisible by 5.

3, 4, 8, 10, 11, 15, 28, 35, 43, 45, 46, 50, 56, 57, 61, 64, 70, 72, 78, 81, 91, 107, 109, 119, 126, 128, 135, 141, 147, 149, 158, 170, 179, 181, 187, 193, 208, 210, 220, 221, 223, 225, 236, 245, 254, 257, 263, 264, 268, 275, 276, 280, 286, 288, 297, 298, 300

Offset: 1

Author

David Pasino, Jan 25 2009

Keywords

• nonn

Comments

First differences of terms of this sequence has a period of 156: a(156*m + n) - a(156*m + n -1) = a(156*s + n)- a(156*s + n - 1) for m and s >= 0. - Enrique Pérez Herrero, Oct 01 2013

Links

• Vaclav Kotesovec, Table of n, a(n) for n = 1..9990 (terms 1..1000 from Enrique Pérez Herrero).
• J. Levine and R. E. Dalton, Minimum Periods, Modulo p, of First Order Bell Exponential Integrals, Mathematics of Computation, 16 (1962), 416-423.
• Samuel S. Wagstaff Jr., Aurifeuillian factorizations and the period of the Bell numbers modulo a prime, Math. Comp. 65 (1996), 383-391.
• Eric Weisstein's World of Mathematics, Bell Number

Crossrefs

Cf. A000110, A229004, A054767, A016789.

Programs

Mathematica

Select[Range[300], Mod[BellB[#], 5] == 0 &] (* T. D. Noe, Oct 01 2013 *)