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A053128 Binomial coefficients C(2*n-5,6). 6
7, 84, 462, 1716, 5005, 12376, 27132, 54264, 100947, 177100, 296010, 475020, 736281, 1107568, 1623160, 2324784, 3262623, 4496388, 6096454, 8145060, 10737573, 13983816, 18009460, 22957480, 28989675, 36288252, 45057474, 55525372, 67945521, 82598880, 99795696 (list; graph; refs; listen; history; text; internal format)
OFFSET

6,1

COMMENTS

a(n) = A053123(n,6), n >= 6; a(n) = 0, n=0..5, (seventh column of shifted Chebyshev's S-triangle, decreasing order).

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 = 6..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-5, 6) if n >= 6 else 0.

G.f.: (7+35*x+21*x^2+x^3)/(1-x)^7.

PROG

(MAGMA)[Binomial(2*n-5, 6): n in [6..40]]; // Vincenzo Librandi, Oct 07 2011

CROSSREFS

Cf. A053123, A053127.

Sequence in context: A240170 A231259 A187649 * A027819 A269895 A272496

Adjacent sequences:  A053125 A053126 A053127 * A053129 A053130 A053131

KEYWORD

nonn,easy,changed

AUTHOR

Wolfdieter Lang

STATUS

approved

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Last modified May 20 18:46 EDT 2018. Contains 304347 sequences. (Running on oeis4.)