I get it to be:
1, 25, 301, 2302, 12651, 53130, 177100, 480700, 1081575, 2042975, 3268760, 4457400, 5200300, 5200300, 4457400, 3268760, 2042975, 1081575, 480700, 177100, 53130, 12651, 2302, 301, 25, 1
* * * * *
Some of the figures are incorrect:
1
25
300
2300
12650
53130
177100
480700
1081575
2042975
3268760
4457400
5200300
and then back down
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1,4,6,4,1
The sum is 24 = 16
If the top row of Pascal's triangle is "1 1", then the nth row of Pascals triangle consists of the coefficients of x in the expansion of (1 + x)n.
1 5 10 10 5 1
The Fifth row of Pascal's triangle has 1,4,6,4,1. The sum is 16. Formula 2n-1 where n=5 Therefore 2n-1=25-1= 24 = 16.