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A053130 Binomial coefficients C(2*n-7,8). 6
9, 165, 1287, 6435, 24310, 75582, 203490, 490314, 1081575, 2220075, 4292145, 7888725, 13884156, 23535820, 38608020, 61523748, 95548245, 145008513, 215553195, 314457495, 450978066, 636763050, 886322710, 1217566350 (list; graph; refs; listen; history; text; internal format)
OFFSET

8,1

COMMENTS

a(n)= A053123(n,8), n >= 8; a(n) := 0, n=0..7,(ninth 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 = 8..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.

Index entries for linear recurrences with constant coefficients, signature (9,-36,84,-126,126,-84,36,-9,1).

FORMULA

a(n) = binomial(2*n-7, 8) if n >= 8 else 0.

G.f.: (9+84*x+126*x^2+36*x^3+x^4)/(1-x)^9.

MATHEMATICA

Table[Binomial[2*n-7, 8], {n, 8, 50}] (* G. C. Greubel, Aug 26 2018 *)

PROG

(MAGMA) [Binomial(2*n-7, 8): n in [8..50]]; // Vincenzo Librandi, Apr 07 2011

(PARI) for(n=8, 50, print1(binomial(2*n-7, 8), ", ")) \\ G. C. Greubel, Aug 26 2018

CROSSREFS

Cf. A053123, A053129.

Sequence in context: A041144 A212334 A086759 * A219074 A166180 A004107

Adjacent sequences:  A053127 A053128 A053129 * A053131 A053132 A053133

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang

STATUS

approved

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Last modified April 21 03:33 EDT 2021. Contains 343145 sequences. (Running on oeis4.)