A175514 Numbers n such that the base-2 expansion of n ends with the base-5 expansion of n.

0, 1, 30, 31, 3900, 3901, 93900, 93901, 97000, 97001, 1270000000, 1270000001, 496864267596900, 496864267596901, 596044970707000, 596044970707001, 300522773449238130, 300522773449238131, 1549835974179703900, 1549835974179703901, 39043445740978906900, 39043445740978906901, 1156389717140148910000

Offset

1,3

Comments

Terms occur in pairs {10k,10k+1}.

Links

Max Alekseyev, Table of n, a(n) for n = 1..28

Mathematica

n=0; nmax=10^8; While[n<=nmax, a=IntegerDigits[n, 2]; L=Length[a]; b=FromDigits[a, 5];
If[Mod[b, 2^L]==n, Print[{b, b+1}]]; n=n+2]; (* after Ray Chandler *)

Crossrefs

Cf. A169828.

Sequence in context: A042856 A042857 A042858 * A043584 A043776 A043784

Adjacent sequences: A175511 A175512 A175513 * A175515 A175516 A175517

Keyword

base,nonn

Author

Zak Seidov, Jun 03 2010

Extensions

Terms a(20)-a(28) from_Max Alekseyev, Sep 22 2016; Sep 03, 2020

Status

approved