|
| |
|
|
A002698
|
|
Coefficients of Chebyshev polynomials: n*(2*n-3)*2^(2*n-5).
(Formerly M5059 N2189)
|
|
1
|
|
|
|
1, 18, 160, 1120, 6912, 39424, 212992, 1105920, 5570560, 27394048, 132120576, 627048448, 2936012800, 13589544960, 62277025792, 282930970624, 1275605286912, 5712306503680, 25426206392320, 112562502893568, 495879744126976, 2174833999740928, 9499780463984640
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
2,2
|
|
|
REFERENCES
|
Cornelius Lanczos, Applied Analysis. Prentice-Hall, Englewood Cliffs, NJ, 1956, p. 516.
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
|
|
|
LINKS
|
|
|
|
FORMULA
|
Sum_{n>=2} 1/a(n) = 12*log(3) - 64*log(2)/3 + 8/3.
Sum_{n>=2} (-1)^n/a(n) = (8/3)*(arctan(1/2) + 4*log(5/4) - 1). (End)
|
|
|
MAPLE
|
|
|
|
MATHEMATICA
|
Table[n*(2n-3)*2^(2n-5), {n, 2, 30}] (* Amiram Eldar, Feb 17 2023 *)
|
|
|
CROSSREFS
|
|
|
|
KEYWORD
|
nonn
|
|
|
AUTHOR
|
|
|
|
STATUS
|
approved
|
| |
|
|
