

A054325


Seventh column of Lanczos triangle A053125 (decreasing powers).


2



7, 336, 7392, 109824, 1281280, 12673024, 111132672, 889061376, 6615662592, 46425702400, 310388981760, 1992378286080, 12352745373696, 74327630282752, 435713694760960, 2496217812566016, 14012859084177408, 77247357640507392
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OFFSET

0,1


REFERENCES

C. Lanczos, Applied Analysis. PrenticeHall, Englewood Cliffs, NJ, 1956, p. 518.
Theodore J. Rivlin, Chebyshev polynomials: from approximation theory to algebra and number theory, 2. ed., Wiley, New York, 1990.


LINKS

G. C. Greubel, Table of n, a(n) for n = 0..1000
Index entries for sequences related to Chebyshev polynomials.
Index entries for linear recurrences with constant coefficients, signature (28, 336, 2240, 8960, 21504, 28672, 16384).


FORMULA

a(n) = 4^n*binomial(2*n+7, 6) = A053125(n+6, 6).
G.f.: (7 +140*x +336*x^2 +64*x^3)/(14*x)^7.


MATHEMATICA

Table[4^n*Binomial[2*n+7, 6], {n, 0, 20}] (* G. C. Greubel, Jul 22 2019 *)


PROG

(PARI) vector(20, n, n; 4^n*binomial(2*n+7, 6)) \\ G. C. Greubel, Jul 22 2019
(MAGMA) [4^n*Binomial(2*n+7, 6): n in [0..20]]; // G. C. Greubel, Jul 22 2019
(Sage) [4^n*binomial(2*n+7, 6) for n in (0..20)] # G. C. Greubel, Jul 22 2019
(GAP) List([0..20], n> 4^n*Binomial(2*n+7, 6)); # G. C. Greubel, Jul 22 2019


CROSSREFS

Cf. A053125, A054324.
Sequence in context: A324233 A009587 A281619 * A161582 A200967 A068150
Adjacent sequences: A054322 A054323 A054324 * A054326 A054327 A054328


KEYWORD

nonn,easy


AUTHOR

Wolfdieter Lang


STATUS

approved



