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 A054332 One half of tenth unsigned column of Lanczos triangle A053125 (decreasing powers). 2
 5, 440, 16016, 366080, 6223360, 85995520, 1018716160, 10711072768, 102385254400, 905301196800, 7501067059200, 58822597017600, 439993025691648, 3158924287016960, 21879051958353920, 146801380881858560 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 REFERENCES C. Lanczos, Applied Analysis. Prentice-Hall, 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 FORMULA a(n) = 2^(2*n-1)*binomial(2*n+10, 9) = -A053125(n+9, 9)/2 = A054328(n)/2. G.f.: (1+40*x+80*x^2)*(5+40*x+16*x^2)/(1-4*x)^10. MATHEMATICA Table[2^(2*n-1)*Binomial[2*n+10, 9], {n, 0, 20}] (* G. C. Greubel, Jul 22 2019 *) PROG (PARI) vector(20, n, n--; 2^(2*n-1)*binomial(2*n+10, 9)) \\ G. C. Greubel, Jul 22 2019 (MAGMA) [2^(2*n-1)*Binomial(2*n+10, 9): n in [0..20]]; // G. C. Greubel, Jul 22 2019 (Sage) [2^(2*n-1)*binomial(2*n+10, 9) for n in (0..20)] # G. C. Greubel, Jul 22 2019 (GAP) List([0..20], n-> 2^(2*n-1)*Binomial(2*n+10, 9)); # G. C. Greubel, Jul 22 2019 CROSSREFS Cf. A053125, A054328. Sequence in context: A199090 A218393 A038003 * A145247 A317345 A333263 Adjacent sequences:  A054329 A054330 A054331 * A054333 A054334 A054335 KEYWORD easy,nonn AUTHOR STATUS approved

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Last modified August 7 12:01 EDT 2022. Contains 355985 sequences. (Running on oeis4.)