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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 Table of n, a(n) for n=0..65. 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 Cf. A168620, A131115. Sequence in context: A040198 A040197 A040196 * A168293 A157633 A157278 Adjacent sequences: A168619 A168620 A168621 * A168623 A168624 A168625 KEYWORD nonn,tabl,easy AUTHOR Roger L. Bagula and Gary W. Adamson, Dec 01 2009 STATUS approved

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