A218037 Decimal numbers with exactly two consecutive zeros.

100, 200, 300, 400, 500, 600, 700, 800, 900, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1100, 1200, 1300, 1400, 1500, 1600, 1700, 1800, 1900, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2100, 2200, 2300, 2400, 2500, 2600, 2700, 2800

Offset

1,1

Comments

The various "beatmap" sequences used in music, dance choreography and even juggling has been standardized with an often employed "00" subsequence. This "00" represents two empty beats, like a musical rest of 2 beats in a measure.

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Wikipedia, Juggling Notation

Mathematica

Select[Range[100, 3000], DigitCount[#, 10, 0]==2&&SequenceCount[IntegerDigits[#], {0, 0}]==1&] (* Harvey P. Dale, Jan 22 2026 *)

Crossrefs

Cf. A043490 (superset).

Sequence in context: A044332 A292730 A043490 * A044713 A322835 A031498

Adjacent sequences: A218034 A218035 A218036 * A218038 A218039 A218040

Keyword

nonn,base

Author

Joshua S.M. Weiner, Oct 19 2012

Status

approved