A168577 Pascal's triangle, first two columns and diagonal removed.

3, 6, 4, 10, 10, 5, 15, 20, 15, 6, 21, 35, 35, 21, 7, 28, 56, 70, 56, 28, 8, 36, 84, 126, 126, 84, 36, 9, 45, 120, 210, 252, 210, 120, 45, 10, 55, 165, 330, 462, 462, 330, 165, 55, 11, 66, 220, 495, 792, 924, 792, 495, 220, 66, 12, 78, 286, 715, 1287, 1716, 1716, 1287

Offset: 2

Author

Roger L. Bagula, Nov 30 2009

Keywords

• nonn
• easy
• tabl

Comments

Row sums are 3, 10, 25, 56, 119, 246, .. (A000247).

Examples

			3;
6, 4;
10, 10, 5;
15, 20, 15, 6;
21, 35, 35, 21, 7;
28, 56, 70, 56, 28, 8;
36, 84, 126, 126, 84, 36, 9;
45, 120, 210, 252, 210, 120, 45, 10;
55, 165, 330, 462, 462, 330, 165, 55, 11;
66, 220, 495, 792, 924, 792, 495, 220, 66, 12;
78, 286, 715, 1287, 1716, 1716, 1287, 715, 286, 78, 13;
		

Crossrefs

Cf. A007318, A104712

Programs

Mathematica

p[x_, n_] = ((x + 1)^n - x^n - n*x - 1)/x^2;
Table[CoefficientList[p[x, n], x], {n, 3, 13}];
Flatten[%]

Formula

T(n,k)= [x^k] ((x + 1)^n - x^n - n*x - 1), 2<=k

T(n,k) = binomial(n,k).

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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