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

Author

Reinhard Zumkeller, Aug 14 2003

Keywords

• nonn

Comments

A087116(a(n))=n and A087116(k)

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

Crossrefs

Cf. A087118, A023416, A007088.

Programs

Mathematica

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

Formula

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

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