A166112 Numbers n with property that n + 2^n == 0 (mod 17).

16, 38, 43, 49, 52, 53, 98, 127, 152, 174, 179, 185, 188, 189, 234, 263, 288, 310, 315, 321, 324, 325, 370, 399, 424, 446, 451, 457, 460, 461, 506, 535, 560, 582, 587, 593, 596, 597, 642, 671, 696, 718, 723, 729, 732, 733, 778, 807, 832, 854, 859, 865, 868

Offset

1,1

Comments

First differences are periodic with length 8: 22,5,6,3,1,45,29,25,(22).

Corresponding integers of the form (n+2^n)/17: 3856, 16169288646, 517417236603, 33114703142433, 264917625139444, 529835250278885, 18641920591591608845539753026, 10008304909439366572452194336228476815, 335822986519049383778420228105763561501822744.

Links

G. C. Greubel, Table of n, a(n) for n = 1..1000

Mathematica

Select[Range[2000], Mod[(# + 2^#), 17] == 0 &]

Crossrefs

Sequence in context: A275186 A224745 A070586 * A224738 A304014 A230828

Adjacent sequences: A166109 A166110 A166111 * A166113 A166114 A166115

Keyword

nonn

Author

Zak Seidov, Oct 06 2009

Status

approved