A087120 Smallest numbers having in binary representation exactly n maximal groups of consecutive zeros.

1, 0, 10, 42, 170, 682, 2730, 10922, 43690, 174762, 699050, 2796202, 11184810, 44739242, 178956970, 715827882, 2863311530, 11453246122, 45812984490, 183251937962, 733007751850, 2932031007402, 11728124029610, 46912496118442

Offset

0,3

Comments

A087116(a(n))=n and A087116(k)<n for k<a(n);

For n>1, a(n) = A020988(n-1).

Links

Harvey P. Dale, Table of n, a(n) for n = 0..1000

Index entries for sequences related to binary expansion of n

Formula

a(0)=1, a(1)=0, a(2)=10, a(n)=4*a(n-1)+2.

Mathematica

Join[{1, 0}, NestList[4#+2&, 10, 25]] (* Harvey P. Dale, Apr 20 2019 *)

Crossrefs

Cf. A087118, A023416, A007088.

Sequence in context: A358249 A027171 A003822 * A222358 A321314 A348095

Adjacent sequences: A087117 A087118 A087119 * A087121 A087122 A087123

Keyword

nonn

Author

Reinhard Zumkeller, Aug 14 2003

Status

approved