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 A034904 Related to sept-factorial numbers A045754. 3
 1, 28, 980, 37730, 1531838, 64337196, 2766499428, 121034349975, 5365856182225, 240390356963680, 10861273400995360, 494187939745288880, 22618601857572837200, 1040455685448350511200, 48069052667713793617440 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Convolution of A034835(n-1) with A025752(n), n >= 1. LINKS Michael De Vlieger, Table of n, a(n) for n = 1..594 Elżbieta Liszewska, Wojciech Młotkowski, Some relatives of the Catalan sequence, arXiv:1907.10725 [math.CO], 2019. Index entries for sequences related to factorial numbers FORMULA a(n) = 7^(n-1)*A045754(n)/n!, A045754(n)=(7*n-6)(!^7) := product(7*j-6, j=1..n); G.f. (-1+(1-49*x)^(-1/7))/7. D-finite with recurrence: n*a(n) +7*(-7*n+6)*a(n-1)=0. - R. J. Mathar, Jan 28 2020 MATHEMATICA CoefficientList[Series[(Power[1-49x, (-7)^-1]-1)/7, {x, 0, 30}], x] (* Harvey P. Dale, Aug 23 2011 *) CROSSREFS Cf. A045754, A034835, A025752. Sequence in context: A203135 A097579 A091549 * A189995 A228689 A218480 Adjacent sequences: A034901 A034902 A034903 * A034905 A034906 A034907 KEYWORD easy,nonn AUTHOR Wolfdieter Lang STATUS approved

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Last modified July 21 02:16 EDT 2024. Contains 374462 sequences. (Running on oeis4.)