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A053126 Binomial coefficients binomial(2*n-3,4). 6
5, 35, 126, 330, 715, 1365, 2380, 3876, 5985, 8855, 12650, 17550, 23751, 31465, 40920, 52360, 66045, 82251, 101270, 123410, 148995, 178365, 211876, 249900, 292825, 341055, 395010, 455126, 521855, 595665, 677040, 766480 (list; graph; refs; listen; history; internal format)
OFFSET

4,1

COMMENTS

a(n)= A053123(n,4), n >= 4; a(n) := 0, n=0..3. (fifth 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 = 4..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-3, 4) if n >= 4 else 0; G.f.: (5+10*x+x^2)/(1-x)^5.

PROG

(MAGMA)[Binomial(2*n-3, 4): n in [4..40]]; // Vincenzo Librandi, Oct 07 2011

CROSSREFS

Cf. A053123, A002492.

Sequence in context: A161199 A111877 A179337 * A096743 A026697 A000910

Adjacent sequences:  A053123 A053124 A053125 * A053127 A053128 A053129

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)

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Last modified February 18 00:14 EST 2012. Contains 206085 sequences.