Whenever there is an amount to the credit of the district fund, as shown by the books of the treasurer, sufficient to pay the warrant or warrants next entitled to payment therefrom, the treasurer shall immediately place in his office, as provided in the preceding section, a notice that such warrant or warrants will be paid on presentation, stating therein the number and series of any such warrants; and the treasurer shall thereupon send, by mail, to the record holder of such warrant, in case such holder shall have left with the treasurer his address for that purpose, notice that such warrant will be paid on presentation.