A048717 - OEIS

A048717

Binary expansion matches ((0)*00(1*)11)*(0*).

0, 3, 6, 7, 12, 14, 15, 24, 28, 30, 31, 48, 51, 56, 60, 62, 63, 96, 99, 102, 103, 112, 115, 120, 124, 126, 127, 192, 195, 198, 199, 204, 206, 207, 224, 227, 230, 231, 240, 243, 248, 252, 254, 255, 384, 387, 390, 391

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OFFSET

0,2

COMMENTS

In binary expansion, 1-bits occur only in groups of two or more, separated from other such groups by at least two 0-bits.

Integers that satisfy A048727(n) = 3*n.

LINKS

Table of n, a(n) for n=0..47.

Index entries for sequences defined by congruent products between domains N and GF(2)[X]

MATHEMATICA

filterQ[n_] := !MatchQ[IntegerDigits[n, 2], {1}|{1, 0, ___}|{___, 0, 1}|{___, 1, 0, 1, ___}|{___, 0, 1, 0, ___}];

Select[Range[0, 400], filterQ] (* Jean-François Alcover, Dec 31 2020 *)

CROSSREFS

Row 3 of A115872. Superset of A048719. Cf. A048733.

Sequence in context: A144795 A364292 A077459 * A175332 A022434 A242666

Adjacent sequences: A048714 A048715 A048716 * A048718 A048719 A048720

KEYWORD

nonn,base,easy

AUTHOR

Antti Karttunen, Mar 30 1999

STATUS

approved