A081281 Square array of binomial transforms of Chebyshev polynomial coefficients.

1, 1, 2, 1, 4, 5, 1, 6, 15, 14, 1, 8, 29, 54, 41, 1, 10, 47, 126, 189, 122, 1, 12, 69, 238, 513, 648, 365, 1, 14, 95, 398, 1101, 1998, 2187, 1094, 1, 16, 125, 614, 2057, 4788, 7533, 7290, 3281, 1, 18, 159, 894, 3501, 9858, 19899, 27702, 24057, 9842, 1, 20, 197, 1246

Offset: 0

Author

Paul Barry, Mar 16 2003

Keywords

• easy
• nonn
• tabl

Comments

Square array of binomial transforms of rows of A081277. Rows include A007051, A006234, A081278, A081279, A081280.

Examples

			Read by antidiagonals, the array appears as {1}, {1,2},{1,4,5}, {1,6,15,14}, {1,8,29,54,41},...
		

Formula

Rows have g.f. (1-2x)(1-x)^(n-1)/(1-3x)^(n+1).