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 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 (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 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)/(1-4*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 STATUS approved

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Last modified December 15 20:00 EST 2019. Contains 330000 sequences. (Running on oeis4.)