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A168620
Table T(n,k) with the coefficient [x^k] of the polynomial 5*(x+1)^n - 4*(x^n+1) in column 0<=k<=n. T(0,0)=1.
2
1, 1, 1, 1, 10, 1, 1, 15, 15, 1, 1, 20, 30, 20, 1, 1, 25, 50, 50, 25, 1, 1, 30, 75, 100, 75, 30, 1, 1, 35, 105, 175, 175, 105, 35, 1, 1, 40, 140, 280, 350, 280, 140, 40, 1, 1, 45, 180, 420, 630, 630, 420, 180, 45, 1, 1, 50, 225, 600, 1050, 1260, 1050, 600, 225, 50, 1
OFFSET
0,5
COMMENTS
Row sums are apparently in A154252.
EXAMPLE
1;
1, 1;
1, 10, 1;
1, 15, 15, 1;
1, 20, 30, 20, 1;
1, 25, 50, 50, 25, 1;
1, 30, 75, 100, 75, 30, 1;
1, 35, 105, 175, 175, 105, 35, 1;
1, 40, 140, 280, 350, 280, 140, 40, 1;
1, 45, 180, 420, 630, 630, 420, 180, 45, 1;
1, 50, 225, 600, 1050, 1260, 1050, 600, 225, 50, 1;
MATHEMATICA
m = 2; p[x_, n_] := If[n == 0, 1, (2*m + 1)(x + 1)^n - 2*m*(x^n + 1)]
a = Table[CoefficientList[p[x, n], x], {n, 0, 10}];
Flatten[a]
CROSSREFS
Sequence in context: A351647 A168644 A378544 * A143683 A146773 A202941
KEYWORD
nonn,tabl,easy
AUTHOR
STATUS
approved