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

1,1

Links

Table of n, a(n) for n=1..24.

Formula

a(n) = (-1)^n * binomial(25,n). - Georg Fischer, Aug 24 2020

Mathematica

Differences@ CoefficientList[Series[(1 - x)^24, {x, 0, 24}], x] (* Michael De Vlieger, Aug 24 2020 *)

Prog

(PARI) y=(1-x)^24; for (n=1, 24, print1(polcoeff(y, n)-polcoeff(y, n-1)", "))

Crossrefs

Cf. A010940, A010941.

Sequence in context: A384080 A158990 A079873 * A010941 A022620 A367457

Adjacent sequences: A078485 A078486 A078487 * A078489 A078490 A078491

Keyword

sign,less,fini,full

Author

Jon Perry, Jan 04 2003

Extensions

Definition corrected by Michel Marcus and Georg Fischer, Aug 24 2020

Status

approved