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

0,3

Comments

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

Links

Table of n, a(n) for n=0..58.

Formula

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

Example

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

Crossrefs

Sequence in context: A188106 A050166 A124959 * A108198 A371686 A321000

Adjacent sequences: A081278 A081279 A081280 * A081282 A081283 A081284

Keyword

easy,nonn,tabl

Author

Paul Barry, Mar 16 2003

Status

approved