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A086404 Square array of numbers T(n,k) = ((1+sqrt(3))*(k+sqrt(3))^n-(1-sqrt(3))*(k-sqrt(3))^n)/(2*sqrt(3)), read by antidiagonals. 3
1, 1, 1, 1, 2, 3, 1, 3, 6, 3, 1, 4, 11, 16, 9, 1, 5, 18, 41, 44, 9, 1, 6, 27, 84, 153, 120, 27, 1, 7, 38, 151, 396, 571, 328, 27, 1, 8, 51, 248, 857, 1872, 2131, 896, 81, 1, 9, 66, 381, 1644, 4893, 8856, 7953, 2448, 81, 1, 10, 83, 556, 2889, 10984, 28003, 41904, 29681 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
0,5
LINKS
EXAMPLE
Rows begin
1, 1, 3, 3, 9, ...
1, 2, 6, 16, 44, ...
1, 3, 11, 41, 153, ...
1, 4, 18, 84, 396, ...
1, 5, 27, 151, 857, ...
CROSSREFS
Rows include A002605, A079935, A086405. Main diagonal is A086406. Rows are successive binomial transforms of (1, 1, 3, 3, 9, 9, ...).
Cf. A086350.
Sequence in context: A047973 A020501 A283878 * A192852 A152976 A153861
KEYWORD
easy,nonn,tabl
AUTHOR
Paul Barry, Jul 19 2003
STATUS
approved

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Last modified June 16 07:01 EDT 2024. Contains 373423 sequences. (Running on oeis4.)