A078488 First differences of coefficients of g.f. (1-x)^24.
-25, 300, -2300, 12650, -53130, 177100, -480700, 1081575, -2042975, 3268760, -4457400, 5200300, -5200300, 4457400, -3268760, 2042975, -1081575, 480700, -177100, 53130, -12650, 2300, -300, 25
Offset: 1
Programs
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Mathematica
Differences@ CoefficientList[Series[(1 - x)^24, {x, 0, 24}], x] (* Michael De Vlieger, Aug 24 2020 *) -
PARI
y=(1-x)^24; for (n=1,24,print1(polcoeff(y,n)-polcoeff(y,n-1)","))
Formula
a(n) = (-1)^n * binomial(25,n). - Georg Fischer, Aug 24 2020
Extensions
Definition corrected by Michel Marcus and Georg Fischer, Aug 24 2020