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 A075511 Sixth column of triangle A075497. 3
 1, 42, 1064, 21168, 365232, 5743584, 84713728, 1193127936, 16239711488, 215394955776, 2800564795392, 35851775791104, 453374980255744, 5677724481773568, 70550796621971456, 871159544637161472 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS The e.g.f. given below is Sum_{m=0..5} A075513(6,m)*exp(2*(m+1)*x)/5!. LINKS FORMULA a(n) = A075497(n+6, 6) = (2^n)*S2(n+6, 6) with S2(n, m) := A008277(n, m) (Stirling2). a(n) = Sum_{m=0..5} A075513(6, m)*((m+1)*2)^n/5!. G.f.: 1/Product_{k=1..6} (1 - 2*k*x). E.g.f.: (d^6/dx^6)(((exp(2*x)-1)/2)^6)/6! = (-exp(2*x) + 160*exp(4*x) - 2430*exp(6*x) + 10240*exp(8*x) - 15625*exp(10*x) + 7776*exp(12*x))/5!. CROSSREFS Cf. A075510, A075512. Sequence in context: A050988 A163741 A140404 * A016094 A004361 A264178 Adjacent sequences:  A075508 A075509 A075510 * A075512 A075513 A075514 KEYWORD nonn,easy AUTHOR Wolfdieter Lang, Oct 02 2002 STATUS approved

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Last modified April 3 03:39 EDT 2020. Contains 333195 sequences. (Running on oeis4.)