A155730 Indices of Bell numbers 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

1,1

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

Mathematica

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

Crossrefs

Cf. A000110, A229004, A054767, A016789.

Sequence in context: A191193 A327185 A047343 * A005047 A083317 A268514

Adjacent sequences: A155727 A155728 A155729 * A155731 A155732 A155733

Keyword

nonn

Author

David Pasino, Jan 25 2009

Status

approved