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 A317981 Expansion of x*(125 + 8028*x + 42237*x^2 + 42272*x^3 + 8007*x^4 + 132*x^5 - x^6) / (1 - x)^8. 5
 125, 9028, 110961, 684176, 2871325, 9402660, 25872833, 62572096, 136972701, 276971300, 524988145, 943023888, 1618774781, 2672907076, 4267591425, 6616398080, 9995653693, 14757360516, 21343778801, 30303773200, 42311023965, 58184203748, 78909220801 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Seems to be the negative of the first column of A316387. LINKS Colin Barker, Table of n, a(n) for n = 1..1000 Index entries for linear recurrences with constant coefficients, signature (8,-28,56,-70,56,-28,8,-1). FORMULA G.f.: x*(125 + 8028*x + 42237*x^2 + 42272*x^3 + 8007*x^4 + 132*x^5 - x^6) / (1 - x)^8. a(n) = 20*n^7 + 70*n^6 + 70*n^5 - 28*n^3 - 7*n^2. a(n) = 8*a(n-1) - 28*a(n-2) + 56*a(n-3) - 70*a(n-4) + 56*a(n-5) - 28*a(n-6) + 8*a(n-7) - a(n-8) for n>8. PROG (PARI) Vec(x*(125 + 8028*x + 42237*x^2 + 42272*x^3 + 8007*x^4 + 132*x^5 - x^6) / (1 - x)^8 + O(x^40)) (PARI) a(n) = 20*n^7 + 70*n^6 + 70*n^5 - 28*n^3 - 7*n^2 CROSSREFS Cf. A316387, A317982, A317983, A317984. Sequence in context: A102076 A223229 A030695 * A223259 A347510 A275296 Adjacent sequences:  A317978 A317979 A317980 * A317982 A317983 A317984 KEYWORD nonn,easy AUTHOR Colin Barker, Aug 13 2018 STATUS approved

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Last modified May 21 19:42 EDT 2022. Contains 353929 sequences. (Running on oeis4.)