It depends. If you are a full year Kansas resident for 2019 and did not earn money anywhere else, there should be nothing in your return related to Nebraska and Line 13 would remain blank.
2019 Kansas Form K-40 Instructions:
LINE 13 (Credit for taxes paid to other states): If you paid income tax to another state, you may be eligible for a credit against your Kansas tax liability. If you had income from a state that has no state income tax, make no entry on line 13.
If you are eligible for a tax credit paid to another state, the credit amount cannot exceed the tax liability shown on the other state’s tax return and the income derived from the other state must be included in your Kansas adjusted gross income (KAGI), line 3 of Form K-40. The tax liability is NOT the amount of tax withheld for the other state.
Important—To receive a credit for taxes paid to another state, you must enclose a copy of the other state(s) tax return and supporting schedules with Form K-40.
Copies of the other state’s W-2 forms are NOT acceptable.
For 2020, if income was earned from Kansas and Nebraska, then a part-year resident return should be filed for Kansas and Nebraska. How do I file a part-year resident return?
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