Is there a suggested amount of taxes to be taken out of pension check when u claim single and no dependents check will amout to $4000 per month

Depends on what other income you may have - investments, other wages, etc. - and what deductions or credits you may be entitled to. But if your total income is from this pension - amounting to $48K/year - and you don't itemize then your total federal tax bill will be about $5600/year. If you have them withhold about $470 per month for federal taxes, or 12% of the payment, you would be fine. Don't forget about any state/local income tax you may have to pay as well.