Easily you can use a 555 push-pull circuit that will produce push-pull pulses but they are not good square-waves and they are not a modified sine-wave. You could delay the startup of the oscillator.
You can build a circuit with "presettable mark/space ratio" the mark and space are the high low ratios of the waveform.
More info here:
http://www.talkingelectronics.com/FreeProjects/555/555-P2.html
Use two monostables, one for the delay and the other for your pulse.
ok.. BUT how do I wire this thing up? the 1 second delay..
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