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A168622 Triangle T(n,k) with the coefficient [x^k] of the polynomial 7*(x+1)^n - 6*(x^n+1) in row n, column k. T(0,0)=1. 0
1, 1, 1, 1, 14, 1, 1, 21, 21, 1, 1, 28, 42, 28, 1, 1, 35, 70, 70, 35, 1, 1, 42, 105, 140, 105, 42, 1, 1, 49, 147, 245, 245, 147, 49, 1, 1, 56, 196, 392, 490, 392, 196, 56, 1, 1, 63, 252, 588, 882, 882, 588, 252, 63, 1, 1, 70, 315, 840, 1470, 1764, 1470, 840, 315, 70, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
0,5
COMMENTS
Row sums are 1, 2, 16, 44, 100, 212, 436, 884, 1780, 3572, 7156,.. apparently entries of A048489 multiplied by 2.
These plus forms generalize sequence A132047.
LINKS
EXAMPLE
1;
1, 1;
1, 14, 1;
1, 21, 21, 1;
1, 28, 42, 28, 1;
1, 35, 70, 70, 35, 1;
1, 42, 105, 140, 105, 42, 1;
1, 49, 147, 245, 245, 147, 49, 1;
1, 56, 196, 392, 490, 392, 196, 56, 1;
1, 63, 252, 588, 882, 882, 588, 252, 63, 1;
1, 70, 315, 840, 1470, 1764, 1470, 840, 315, 70, 1;
MATHEMATICA
m = 3; 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: A040198 A040197 A040196 * A168293 A157633 A157278
KEYWORD
nonn,tabl,easy
AUTHOR
STATUS
approved

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Last modified April 23 13:51 EDT 2024. Contains 371914 sequences. (Running on oeis4.)