|
| |
|
|
A053129
|
|
Binomial coefficients C(2n-6,7).
|
|
6
|
|
|
|
8, 120, 792, 3432, 11440, 31824, 77520, 170544, 346104, 657800, 1184040, 2035800, 3365856, 5379616, 8347680, 12620256, 18643560, 26978328, 38320568, 53524680, 73629072, 99884400, 133784560, 177100560, 231917400, 300674088, 386206920
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
7,1
|
|
|
COMMENTS
|
a(n)=-A053123(n,7), n >= 7; a(n) := 0, n=0..6,(eighth column of shifted Chebyshev's S-triangle, decreasing order)
a(n)= 8*A000973(n).
|
|
|
REFERENCES
|
M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, 1964 (and various reprintings).
|
|
|
LINKS
|
Vincenzo Librandi, Table of n, a(n) for n = 7..200
Milan Janjic, Two Enumerative Functions
M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy].
Index entries for sequences related to Chebyshev polynomials.
|
|
|
FORMULA
|
a(n)= binomial(2*n-6, 7) if n >= 7 else 0; G.f.: (8+56*x+56*x^2+8*x^3)/(1-x)^8.
|
|
|
PROG
|
(MAGMA)[Binomial(2*n-6, 7): n in [7..40]]; // Vincenzo Librandi, Oct 07 2011
|
|
|
CROSSREFS
|
Cf. A053123, A053128, A000973.
Sequence in context: A194494 A116008 A086302 * A045899 A165231 A004381
Adjacent sequences: A053126 A053127 A053128 * A053130 A053131 A053132
|
|
|
KEYWORD
|
nonn,easy
|
|
|
AUTHOR
|
Wolfdieter Lang
|
|
|
STATUS
|
approved
|
| |
|
|
